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Finding the Third Proportional to 127,494 and 277,506

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Solution

The third proportional to 127,494 and 277,506 is: 604,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,494 : 277,506 = 277,506 : x
  2. Step 2: Convert to fraction form
    127,494/277,506 = 277,506/x
  3. Step 3: Cross multiply
    127,494x = 277,506 × 277,506
  4. Step 4: Simplify right side
    127,494x = 77,009,580,036
  5. Step 5: Solve for x
    x = 77,009,580,036/127,494
  6. Step 6: Final answer
    x = 604,025.13

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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.