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Finding the Third Proportional to 267,912 and 418,060

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Solution

The third proportional to 267,912 and 418,060 is: 652,356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,912 : 418,060 = 418,060 : x
  2. Step 2: Convert to fraction form
    267,912/418,060 = 418,060/x
  3. Step 3: Cross multiply
    267,912x = 418,060 × 418,060
  4. Step 4: Simplify right side
    267,912x = 174,774,163,600
  5. Step 5: Solve for x
    x = 174,774,163,600/267,912
  6. Step 6: Final answer
    x = 652,356.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.