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Finding the Third Proportional to 252,486.75 and 539,964.75

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Solution

The third proportional to 252,486.75 and 539,964.75 is: 1,154,761.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,486.75 : 539,964.75 = 539,964.75 : x
  2. Step 2: Convert to fraction form
    252,486.75/539,964.75 = 539,964.75/x
  3. Step 3: Cross multiply
    252,486.75x = 539,964.75 × 539,964.75
  4. Step 4: Simplify right side
    252,486.75x = 291,561,931,242.56
  5. Step 5: Solve for x
    x = 291,561,931,242.56/252,486.75
  6. Step 6: Final answer
    x = 1,154,761.31

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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.