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Finding the Third Proportional to 252,484.50 and 539,960.75

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Solution

The third proportional to 252,484.50 and 539,960.75 is: 1,154,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,484.50 : 539,960.75 = 539,960.75 : x
  2. Step 2: Convert to fraction form
    252,484.50/539,960.75 = 539,960.75/x
  3. Step 3: Cross multiply
    252,484.50x = 539,960.75 × 539,960.75
  4. Step 4: Simplify right side
    252,484.50x = 291,557,611,540.56
  5. Step 5: Solve for x
    x = 291,557,611,540.56/252,484.50
  6. Step 6: Final answer
    x = 1,154,754.50

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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.