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Finding the Third Proportional to 252,811.13 and 541,603.97

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Solution

The third proportional to 252,811.13 and 541,603.97 is: 1,160,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,811.13 : 541,603.97 = 541,603.97 : x
  2. Step 2: Convert to fraction form
    252,811.13/541,603.97 = 541,603.97/x
  3. Step 3: Cross multiply
    252,811.13x = 541,603.97 × 541,603.97
  4. Step 4: Simplify right side
    252,811.13x = 293,334,858,965.75
  5. Step 5: Solve for x
    x = 293,334,858,965.75/252,811.13
  6. Step 6: Final answer
    x = 1,160,292.53

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.