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Finding the Third Proportional to 499,729.50 and 1,092,663

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Solution

The third proportional to 499,729.50 and 1,092,663 is: 2,389,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,729.50 : 1,092,663 = 1,092,663 : x
  2. Step 2: Convert to fraction form
    499,729.50/1,092,663 = 1,092,663/x
  3. Step 3: Cross multiply
    499,729.50x = 1,092,663 × 1,092,663
  4. Step 4: Simplify right side
    499,729.50x = 1,193,912,431,569
  5. Step 5: Solve for x
    x = 1,193,912,431,569/499,729.50
  6. Step 6: Final answer
    x = 2,389,117.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.