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Finding the Third Proportional to 657,787.50 and 984,035.25

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Solution

The third proportional to 657,787.50 and 984,035.25 is: 1,472,094.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,787.50 : 984,035.25 = 984,035.25 : x
  2. Step 2: Convert to fraction form
    657,787.50/984,035.25 = 984,035.25/x
  3. Step 3: Cross multiply
    657,787.50x = 984,035.25 × 984,035.25
  4. Step 4: Simplify right side
    657,787.50x = 968,325,373,242.56
  5. Step 5: Solve for x
    x = 968,325,373,242.56/657,787.50
  6. Step 6: Final answer
    x = 1,472,094.52

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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.