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Finding the Third Proportional to 238,587 and 514,554

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Solution

The third proportional to 238,587 and 514,554 is: 1,109,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,587 : 514,554 = 514,554 : x
  2. Step 2: Convert to fraction form
    238,587/514,554 = 514,554/x
  3. Step 3: Cross multiply
    238,587x = 514,554 × 514,554
  4. Step 4: Simplify right side
    238,587x = 264,765,818,916
  5. Step 5: Solve for x
    x = 264,765,818,916/238,587
  6. Step 6: Final answer
    x = 1,109,724.41

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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.