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Finding the Third Proportional to 127,032 and 273,480

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Solution

The third proportional to 127,032 and 273,480 is: 588,759.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,032 : 273,480 = 273,480 : x
  2. Step 2: Convert to fraction form
    127,032/273,480 = 273,480/x
  3. Step 3: Cross multiply
    127,032x = 273,480 × 273,480
  4. Step 4: Simplify right side
    127,032x = 74,791,310,400
  5. Step 5: Solve for x
    x = 74,791,310,400/127,032
  6. Step 6: Final answer
    x = 588,759.61

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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.