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Finding the Third Proportional to 237,704 and 518,048

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Solution

The third proportional to 237,704 and 518,048 is: 1,129,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,704 : 518,048 = 518,048 : x
  2. Step 2: Convert to fraction form
    237,704/518,048 = 518,048/x
  3. Step 3: Cross multiply
    237,704x = 518,048 × 518,048
  4. Step 4: Simplify right side
    237,704x = 268,373,730,304
  5. Step 5: Solve for x
    x = 268,373,730,304/237,704
  6. Step 6: Final answer
    x = 1,129,024.88

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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.