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Finding the Third Proportional to 267,373 and 399,708

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Solution

The third proportional to 267,373 and 399,708 is: 597,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,373 : 399,708 = 399,708 : x
  2. Step 2: Convert to fraction form
    267,373/399,708 = 399,708/x
  3. Step 3: Cross multiply
    267,373x = 399,708 × 399,708
  4. Step 4: Simplify right side
    267,373x = 159,766,485,264
  5. Step 5: Solve for x
    x = 159,766,485,264/267,373
  6. Step 6: Final answer
    x = 597,541.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.