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Finding the Third Proportional to 542,802.75 and 1,157,742.75

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Solution

The third proportional to 542,802.75 and 1,157,742.75 is: 2,469,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,802.75 : 1,157,742.75 = 1,157,742.75 : x
  2. Step 2: Convert to fraction form
    542,802.75/1,157,742.75 = 1,157,742.75/x
  3. Step 3: Cross multiply
    542,802.75x = 1,157,742.75 × 1,157,742.75
  4. Step 4: Simplify right side
    542,802.75x = 1,340,368,275,177.56
  5. Step 5: Solve for x
    x = 1,340,368,275,177.56/542,802.75
  6. Step 6: Final answer
    x = 2,469,346.88

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.