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Finding the Third Proportional to 657,850.78 and 984,098.53

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Solution

The third proportional to 657,850.78 and 984,098.53 is: 1,472,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,850.78 : 984,098.53 = 984,098.53 : x
  2. Step 2: Convert to fraction form
    657,850.78/984,098.53 = 984,098.53/x
  3. Step 3: Cross multiply
    657,850.78x = 984,098.53 × 984,098.53
  4. Step 4: Simplify right side
    657,850.78x = 968,449,919,208.41
  5. Step 5: Solve for x
    x = 968,449,919,208.41/657,850.78
  6. Step 6: Final answer
    x = 1,472,142.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.