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Finding the Third Proportional to 127,318 and 277,460

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Solution

The third proportional to 127,318 and 277,460 is: 604,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,318 : 277,460 = 277,460 : x
  2. Step 2: Convert to fraction form
    127,318/277,460 = 277,460/x
  3. Step 3: Cross multiply
    127,318x = 277,460 × 277,460
  4. Step 4: Simplify right side
    127,318x = 76,984,051,600
  5. Step 5: Solve for x
    x = 76,984,051,600/127,318
  6. Step 6: Final answer
    x = 604,659.61

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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.