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Finding the Third Proportional to 238,600 and 514,561

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Solution

The third proportional to 238,600 and 514,561 is: 1,109,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,600 : 514,561 = 514,561 : x
  2. Step 2: Convert to fraction form
    238,600/514,561 = 514,561/x
  3. Step 3: Cross multiply
    238,600x = 514,561 × 514,561
  4. Step 4: Simplify right side
    238,600x = 264,773,022,721
  5. Step 5: Solve for x
    x = 264,773,022,721/238,600
  6. Step 6: Final answer
    x = 1,109,694.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.