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Finding the Third Proportional to 127,644 and 277,670

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Solution

The third proportional to 127,644 and 277,670 is: 604,028.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,644 : 277,670 = 277,670 : x
  2. Step 2: Convert to fraction form
    127,644/277,670 = 277,670/x
  3. Step 3: Cross multiply
    127,644x = 277,670 × 277,670
  4. Step 4: Simplify right side
    127,644x = 77,100,628,900
  5. Step 5: Solve for x
    x = 77,100,628,900/127,644
  6. Step 6: Final answer
    x = 604,028.62

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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.