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Finding the Third Proportional to 437,069.25 and 675,016.88

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Solution

The third proportional to 437,069.25 and 675,016.88 is: 1,042,507.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,069.25 : 675,016.88 = 675,016.88 : x
  2. Step 2: Convert to fraction form
    437,069.25/675,016.88 = 675,016.88/x
  3. Step 3: Cross multiply
    437,069.25x = 675,016.88 × 675,016.88
  4. Step 4: Simplify right side
    437,069.25x = 455,647,781,534.77
  5. Step 5: Solve for x
    x = 455,647,781,534.77/437,069.25
  6. Step 6: Final answer
    x = 1,042,507.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.