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Finding the Third Proportional to 267,714 and 392,634

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Solution

The third proportional to 267,714 and 392,634 is: 575,843.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,714 : 392,634 = 392,634 : x
  2. Step 2: Convert to fraction form
    267,714/392,634 = 392,634/x
  3. Step 3: Cross multiply
    267,714x = 392,634 × 392,634
  4. Step 4: Simplify right side
    267,714x = 154,161,457,956
  5. Step 5: Solve for x
    x = 154,161,457,956/267,714
  6. Step 6: Final answer
    x = 575,843.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.