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Finding the Third Proportional to 499,729.50 and 736,472.25

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Solution

The third proportional to 499,729.50 and 736,472.25 is: 1,085,369.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,729.50 : 736,472.25 = 736,472.25 : x
  2. Step 2: Convert to fraction form
    499,729.50/736,472.25 = 736,472.25/x
  3. Step 3: Cross multiply
    499,729.50x = 736,472.25 × 736,472.25
  4. Step 4: Simplify right side
    499,729.50x = 542,391,375,020.06
  5. Step 5: Solve for x
    x = 542,391,375,020.06/499,729.50
  6. Step 6: Final answer
    x = 1,085,369.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.