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Finding the Third Proportional to 491,695.31 and 759,379.31

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Solution

The third proportional to 491,695.31 and 759,379.31 is: 1,172,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,695.31 : 759,379.31 = 759,379.31 : x
  2. Step 2: Convert to fraction form
    491,695.31/759,379.31 = 759,379.31/x
  3. Step 3: Cross multiply
    491,695.31x = 759,379.31 × 759,379.31
  4. Step 4: Simplify right side
    491,695.31x = 576,656,940,252.97
  5. Step 5: Solve for x
    x = 576,656,940,252.97/491,695.31
  6. Step 6: Final answer
    x = 1,172,793.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.