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Finding the Third Proportional to 127,318 and 277,462

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Solution

The third proportional to 127,318 and 277,462 is: 604,668.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,318 : 277,462 = 277,462 : x
  2. Step 2: Convert to fraction form
    127,318/277,462 = 277,462/x
  3. Step 3: Cross multiply
    127,318x = 277,462 × 277,462
  4. Step 4: Simplify right side
    127,318x = 76,985,161,444
  5. Step 5: Solve for x
    x = 76,985,161,444/127,318
  6. Step 6: Final answer
    x = 604,668.32

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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.