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Finding the Third Proportional to 237,707 and 518,059

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Solution

The third proportional to 237,707 and 518,059 is: 1,129,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,707 : 518,059 = 518,059 : x
  2. Step 2: Convert to fraction form
    237,707/518,059 = 518,059/x
  3. Step 3: Cross multiply
    237,707x = 518,059 × 518,059
  4. Step 4: Simplify right side
    237,707x = 268,385,127,481
  5. Step 5: Solve for x
    x = 268,385,127,481/237,707
  6. Step 6: Final answer
    x = 1,129,058.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.