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Finding the Third Proportional to 267,723 and 392,643

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Solution

The third proportional to 267,723 and 392,643 is: 575,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,723 : 392,643 = 392,643 : x
  2. Step 2: Convert to fraction form
    267,723/392,643 = 392,643/x
  3. Step 3: Cross multiply
    267,723x = 392,643 × 392,643
  4. Step 4: Simplify right side
    267,723x = 154,168,525,449
  5. Step 5: Solve for x
    x = 154,168,525,449/267,723
  6. Step 6: Final answer
    x = 575,850.88

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