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Finding the Third Proportional to 338,698.88 and 498,691.31

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Solution

The third proportional to 338,698.88 and 498,691.31 is: 734,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,698.88 : 498,691.31 = 498,691.31 : x
  2. Step 2: Convert to fraction form
    338,698.88/498,691.31 = 498,691.31/x
  3. Step 3: Cross multiply
    338,698.88x = 498,691.31 × 498,691.31
  4. Step 4: Simplify right side
    338,698.88x = 248,693,025,162.97
  5. Step 5: Solve for x
    x = 248,693,025,162.97/338,698.88
  6. Step 6: Final answer
    x = 734,259.97

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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.