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Finding the Third Proportional to 298,983.62 and 461,695.14

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Solution

The third proportional to 298,983.62 and 461,695.14 is: 712,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,983.62 : 461,695.14 = 461,695.14 : x
  2. Step 2: Convert to fraction form
    298,983.62/461,695.14 = 461,695.14/x
  3. Step 3: Cross multiply
    298,983.62x = 461,695.14 × 461,695.14
  4. Step 4: Simplify right side
    298,983.62x = 213,162,397,917.11
  5. Step 5: Solve for x
    x = 213,162,397,917.11/298,983.62
  6. Step 6: Final answer
    x = 712,956.78

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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.