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Finding the Third Proportional to 499,158 and 748,491

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Solution

The third proportional to 499,158 and 748,491 is: 1,122,367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,158 : 748,491 = 748,491 : x
  2. Step 2: Convert to fraction form
    499,158/748,491 = 748,491/x
  3. Step 3: Cross multiply
    499,158x = 748,491 × 748,491
  4. Step 4: Simplify right side
    499,158x = 560,238,777,081
  5. Step 5: Solve for x
    x = 560,238,777,081/499,158
  6. Step 6: Final answer
    x = 1,122,367.62

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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.