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Finding the Third Proportional to 127,327 and 277,480

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Solution

The third proportional to 127,327 and 277,480 is: 604,704.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,327 : 277,480 = 277,480 : x
  2. Step 2: Convert to fraction form
    127,327/277,480 = 277,480/x
  3. Step 3: Cross multiply
    127,327x = 277,480 × 277,480
  4. Step 4: Simplify right side
    127,327x = 76,995,150,400
  5. Step 5: Solve for x
    x = 76,995,150,400/127,327
  6. Step 6: Final answer
    x = 604,704.03

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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.