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Finding the Third Proportional to 127,058 and 277,812

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Solution

The third proportional to 127,058 and 277,812 is: 607,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,058 : 277,812 = 277,812 : x
  2. Step 2: Convert to fraction form
    127,058/277,812 = 277,812/x
  3. Step 3: Cross multiply
    127,058x = 277,812 × 277,812
  4. Step 4: Simplify right side
    127,058x = 77,179,507,344
  5. Step 5: Solve for x
    x = 77,179,507,344/127,058
  6. Step 6: Final answer
    x = 607,435.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.