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Finding the Third Proportional to 499,166 and 748,502

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Solution

The third proportional to 499,166 and 748,502 is: 1,122,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,166 : 748,502 = 748,502 : x
  2. Step 2: Convert to fraction form
    499,166/748,502 = 748,502/x
  3. Step 3: Cross multiply
    499,166x = 748,502 × 748,502
  4. Step 4: Simplify right side
    499,166x = 560,255,244,004
  5. Step 5: Solve for x
    x = 560,255,244,004/499,166
  6. Step 6: Final answer
    x = 1,122,382.62

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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.