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Finding the Third Proportional to 401,480,489.25 and 613,762,825.50

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Solution

The third proportional to 401,480,489.25 and 613,762,825.50 is: 938,289,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,480,489.25 : 613,762,825.50 = 613,762,825.50 : x
  2. Step 2: Convert to fraction form
    401,480,489.25/613,762,825.50 = 613,762,825.50/x
  3. Step 3: Cross multiply
    401,480,489.25x = 613,762,825.50 × 613,762,825.50
  4. Step 4: Simplify right side
    401,480,489.25x = 376,704,805,965,743,424
  5. Step 5: Solve for x
    x = 376,704,805,965,743,424/401,480,489.25
  6. Step 6: Final answer
    x = 938,289,197.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.