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Finding the Third Proportional to 540,735.75 and 815,248.13

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Solution

The third proportional to 540,735.75 and 815,248.13 is: 1,229,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,735.75 : 815,248.13 = 815,248.13 : x
  2. Step 2: Convert to fraction form
    540,735.75/815,248.13 = 815,248.13/x
  3. Step 3: Cross multiply
    540,735.75x = 815,248.13 × 815,248.13
  4. Step 4: Simplify right side
    540,735.75x = 664,629,505,316.02
  5. Step 5: Solve for x
    x = 664,629,505,316.02/540,735.75
  6. Step 6: Final answer
    x = 1,229,120.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.