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Finding the Third Proportional to 332,569.13 and 729,516.38

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Solution

The third proportional to 332,569.13 and 729,516.38 is: 1,600,251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,569.13 : 729,516.38 = 729,516.38 : x
  2. Step 2: Convert to fraction form
    332,569.13/729,516.38 = 729,516.38/x
  3. Step 3: Cross multiply
    332,569.13x = 729,516.38 × 729,516.38
  4. Step 4: Simplify right side
    332,569.13x = 532,194,141,393.14
  5. Step 5: Solve for x
    x = 532,194,141,393.14/332,569.13
  6. Step 6: Final answer
    x = 1,600,251.20

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Why These Related Problems?

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