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Finding the Third Proportional to 127,001 and 271,498

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Solution

The third proportional to 127,001 and 271,498 is: 580,398.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,001 : 271,498 = 271,498 : x
  2. Step 2: Convert to fraction form
    127,001/271,498 = 271,498/x
  3. Step 3: Cross multiply
    127,001x = 271,498 × 271,498
  4. Step 4: Simplify right side
    127,001x = 73,711,164,004
  5. Step 5: Solve for x
    x = 73,711,164,004/127,001
  6. Step 6: Final answer
    x = 580,398.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.