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Finding the Third Proportional to 655,951.50 and 985,952.25

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Solution

The third proportional to 655,951.50 and 985,952.25 is: 1,481,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,951.50 : 985,952.25 = 985,952.25 : x
  2. Step 2: Convert to fraction form
    655,951.50/985,952.25 = 985,952.25/x
  3. Step 3: Cross multiply
    655,951.50x = 985,952.25 × 985,952.25
  4. Step 4: Simplify right side
    655,951.50x = 972,101,839,280.06
  5. Step 5: Solve for x
    x = 972,101,839,280.06/655,951.50
  6. Step 6: Final answer
    x = 1,481,972.13

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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.