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Finding the Third Proportional to 336,862.13 and 729,801.56

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Solution

The third proportional to 336,862.13 and 729,801.56 is: 1,581,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,862.13 : 729,801.56 = 729,801.56 : x
  2. Step 2: Convert to fraction form
    336,862.13/729,801.56 = 729,801.56/x
  3. Step 3: Cross multiply
    336,862.13x = 729,801.56 × 729,801.56
  4. Step 4: Simplify right side
    336,862.13x = 532,610,320,627.44
  5. Step 5: Solve for x
    x = 532,610,320,627.44/336,862.13
  6. Step 6: Final answer
    x = 1,581,092.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.