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Finding the Third Proportional to 728,198.25 and 1,130,637.75

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Solution

The third proportional to 728,198.25 and 1,130,637.75 is: 1,755,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,198.25 : 1,130,637.75 = 1,130,637.75 : x
  2. Step 2: Convert to fraction form
    728,198.25/1,130,637.75 = 1,130,637.75/x
  3. Step 3: Cross multiply
    728,198.25x = 1,130,637.75 × 1,130,637.75
  4. Step 4: Simplify right side
    728,198.25x = 1,278,341,721,725.06
  5. Step 5: Solve for x
    x = 1,278,341,721,725.06/728,198.25
  6. Step 6: Final answer
    x = 1,755,485.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.