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Finding the Third Proportional to 404,256,597,570 and 627,959,340,697.50

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Solution

The third proportional to 404,256,597,570 and 627,959,340,697.50 is: 975,452,066,681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,256,597,570 : 627,959,340,697.50 = 627,959,340,697.50 : x
  2. Step 2: Convert to fraction form
    404,256,597,570/627,959,340,697.50 = 627,959,340,697.50/x
  3. Step 3: Cross multiply
    404,256,597,570x = 627,959,340,697.50 × 627,959,340,697.50
  4. Step 4: Simplify right side
    404,256,597,570x = 394,332,933,569,238,869,737,472
  5. Step 5: Solve for x
    x = 394,332,933,569,238,869,737,472/404,256,597,570
  6. Step 6: Final answer
    x = 975,452,066,681.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.