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Finding the Third Proportional to 127,384 and 273,560

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Solution

The third proportional to 127,384 and 273,560 is: 587,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,384 : 273,560 = 273,560 : x
  2. Step 2: Convert to fraction form
    127,384/273,560 = 273,560/x
  3. Step 3: Cross multiply
    127,384x = 273,560 × 273,560
  4. Step 4: Simplify right side
    127,384x = 74,835,073,600
  5. Step 5: Solve for x
    x = 74,835,073,600/127,384
  6. Step 6: Final answer
    x = 587,476.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.