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Finding the Third Proportional to 127,593 and 277,302

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Solution

The third proportional to 127,593 and 277,302 is: 602,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,593 : 277,302 = 277,302 : x
  2. Step 2: Convert to fraction form
    127,593/277,302 = 277,302/x
  3. Step 3: Cross multiply
    127,593x = 277,302 × 277,302
  4. Step 4: Simplify right side
    127,593x = 76,896,399,204
  5. Step 5: Solve for x
    x = 76,896,399,204/127,593
  6. Step 6: Final answer
    x = 602,669.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.