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Finding the Third Proportional to 127,520 and 277,394

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Solution

The third proportional to 127,520 and 277,394 is: 603,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,520 : 277,394 = 277,394 : x
  2. Step 2: Convert to fraction form
    127,520/277,394 = 277,394/x
  3. Step 3: Cross multiply
    127,520x = 277,394 × 277,394
  4. Step 4: Simplify right side
    127,520x = 76,947,431,236
  5. Step 5: Solve for x
    x = 76,947,431,236/127,520
  6. Step 6: Final answer
    x = 603,414.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.