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Finding the Third Proportional to 498,362 and 747,387

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Solution

The third proportional to 498,362 and 747,387 is: 1,120,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,362 : 747,387 = 747,387 : x
  2. Step 2: Convert to fraction form
    498,362/747,387 = 747,387/x
  3. Step 3: Cross multiply
    498,362x = 747,387 × 747,387
  4. Step 4: Simplify right side
    498,362x = 558,587,327,769
  5. Step 5: Solve for x
    x = 558,587,327,769/498,362
  6. Step 6: Final answer
    x = 1,120,846.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.