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Finding the Third Proportional to 441,281.50 and 681,892.50

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Solution

The third proportional to 441,281.50 and 681,892.50 is: 1,053,697.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,281.50 : 681,892.50 = 681,892.50 : x
  2. Step 2: Convert to fraction form
    441,281.50/681,892.50 = 681,892.50/x
  3. Step 3: Cross multiply
    441,281.50x = 681,892.50 × 681,892.50
  4. Step 4: Simplify right side
    441,281.50x = 464,977,381,556.25
  5. Step 5: Solve for x
    x = 464,977,381,556.25/441,281.50
  6. Step 6: Final answer
    x = 1,053,697.88

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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.