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Finding the Third Proportional to 361,729.13 and 532,139.63

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Solution

The third proportional to 361,729.13 and 532,139.63 is: 782,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,729.13 : 532,139.63 = 532,139.63 : x
  2. Step 2: Convert to fraction form
    361,729.13/532,139.63 = 532,139.63/x
  3. Step 3: Cross multiply
    361,729.13x = 532,139.63 × 532,139.63
  4. Step 4: Simplify right side
    361,729.13x = 283,172,580,495.14
  5. Step 5: Solve for x
    x = 283,172,580,495.14/361,729.13
  6. Step 6: Final answer
    x = 782,830.47

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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.