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Finding the Third Proportional to 210,691.13 and 464,329.13

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Solution

The third proportional to 210,691.13 and 464,329.13 is: 1,023,306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,691.13 : 464,329.13 = 464,329.13 : x
  2. Step 2: Convert to fraction form
    210,691.13/464,329.13 = 464,329.13/x
  3. Step 3: Cross multiply
    210,691.13x = 464,329.13 × 464,329.13
  4. Step 4: Simplify right side
    210,691.13x = 215,601,536,323.27
  5. Step 5: Solve for x
    x = 215,601,536,323.27/210,691.13
  6. Step 6: Final answer
    x = 1,023,306.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.