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Finding the Third Proportional to 657,976.50 and 1,367,651.25

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Solution

The third proportional to 657,976.50 and 1,367,651.25 is: 2,842,761.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,976.50 : 1,367,651.25 = 1,367,651.25 : x
  2. Step 2: Convert to fraction form
    657,976.50/1,367,651.25 = 1,367,651.25/x
  3. Step 3: Cross multiply
    657,976.50x = 1,367,651.25 × 1,367,651.25
  4. Step 4: Simplify right side
    657,976.50x = 1,870,469,941,626.56
  5. Step 5: Solve for x
    x = 1,870,469,941,626.56/657,976.50
  6. Step 6: Final answer
    x = 2,842,761.01

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.