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Finding the Third Proportional to 498,052.13 and 1,100,761.88

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Solution

The third proportional to 498,052.13 and 1,100,761.88 is: 2,432,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,052.13 : 1,100,761.88 = 1,100,761.88 : x
  2. Step 2: Convert to fraction form
    498,052.13/1,100,761.88 = 1,100,761.88/x
  3. Step 3: Cross multiply
    498,052.13x = 1,100,761.88 × 1,100,761.88
  4. Step 4: Simplify right side
    498,052.13x = 1,211,676,705,453.52
  5. Step 5: Solve for x
    x = 1,211,676,705,453.52/498,052.13
  6. Step 6: Final answer
    x = 2,432,831.11

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.