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Finding the Third Proportional to 441,351.75 and 681,988.50

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Solution

The third proportional to 441,351.75 and 681,988.50 is: 1,053,826.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,351.75 : 681,988.50 = 681,988.50 : x
  2. Step 2: Convert to fraction form
    441,351.75/681,988.50 = 681,988.50/x
  3. Step 3: Cross multiply
    441,351.75x = 681,988.50 × 681,988.50
  4. Step 4: Simplify right side
    441,351.75x = 465,108,314,132.25
  5. Step 5: Solve for x
    x = 465,108,314,132.25/441,351.75
  6. Step 6: Final answer
    x = 1,053,826.83

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Why These Related Problems?

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