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Finding the Third Proportional to 252,871.88 and 539,095.50

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Solution

The third proportional to 252,871.88 and 539,095.50 is: 1,149,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,871.88 : 539,095.50 = 539,095.50 : x
  2. Step 2: Convert to fraction form
    252,871.88/539,095.50 = 539,095.50/x
  3. Step 3: Cross multiply
    252,871.88x = 539,095.50 × 539,095.50
  4. Step 4: Simplify right side
    252,871.88x = 290,623,958,120.25
  5. Step 5: Solve for x
    x = 290,623,958,120.25/252,871.88
  6. Step 6: Final answer
    x = 1,149,293.33

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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.