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Finding the Third Proportional to 238,663 and 514,681

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Solution

The third proportional to 238,663 and 514,681 is: 1,109,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,663 : 514,681 = 514,681 : x
  2. Step 2: Convert to fraction form
    238,663/514,681 = 514,681/x
  3. Step 3: Cross multiply
    238,663x = 514,681 × 514,681
  4. Step 4: Simplify right side
    238,663x = 264,896,531,761
  5. Step 5: Solve for x
    x = 264,896,531,761/238,663
  6. Step 6: Final answer
    x = 1,109,918.72

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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.