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Finding the Third Proportional to 238,643 and 514,651

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Solution

The third proportional to 238,643 and 514,651 is: 1,109,882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,643 : 514,651 = 514,651 : x
  2. Step 2: Convert to fraction form
    238,643/514,651 = 514,651/x
  3. Step 3: Cross multiply
    238,643x = 514,651 × 514,651
  4. Step 4: Simplify right side
    238,643x = 264,865,651,801
  5. Step 5: Solve for x
    x = 264,865,651,801/238,643
  6. Step 6: Final answer
    x = 1,109,882.34

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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.