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Finding the Third Proportional to 272,331 and 588,390

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Solution

The third proportional to 272,331 and 588,390 is: 1,271,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,331 : 588,390 = 588,390 : x
  2. Step 2: Convert to fraction form
    272,331/588,390 = 588,390/x
  3. Step 3: Cross multiply
    272,331x = 588,390 × 588,390
  4. Step 4: Simplify right side
    272,331x = 346,202,792,100
  5. Step 5: Solve for x
    x = 346,202,792,100/272,331
  6. Step 6: Final answer
    x = 1,271,257.37

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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.