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Finding the Third Proportional to 419,570 and 645,282

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Solution

The third proportional to 419,570 and 645,282 is: 992,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,570 : 645,282 = 645,282 : x
  2. Step 2: Convert to fraction form
    419,570/645,282 = 645,282/x
  3. Step 3: Cross multiply
    419,570x = 645,282 × 645,282
  4. Step 4: Simplify right side
    419,570x = 416,388,859,524
  5. Step 5: Solve for x
    x = 416,388,859,524/419,570
  6. Step 6: Final answer
    x = 992,418.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.