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Finding the Third Proportional to 657,939 and 984,250.50

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Solution

The third proportional to 657,939 and 984,250.50 is: 1,472,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,939 : 984,250.50 = 984,250.50 : x
  2. Step 2: Convert to fraction form
    657,939/984,250.50 = 984,250.50/x
  3. Step 3: Cross multiply
    657,939x = 984,250.50 × 984,250.50
  4. Step 4: Simplify right side
    657,939x = 968,749,046,750.25
  5. Step 5: Solve for x
    x = 968,749,046,750.25/657,939
  6. Step 6: Final answer
    x = 1,472,399.49

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