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Finding the Third Proportional to 441,982.83 and 654,687.56

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Solution

The third proportional to 441,982.83 and 654,687.56 is: 969,756.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,982.83 : 654,687.56 = 654,687.56 : x
  2. Step 2: Convert to fraction form
    441,982.83/654,687.56 = 654,687.56/x
  3. Step 3: Cross multiply
    441,982.83x = 654,687.56 × 654,687.56
  4. Step 4: Simplify right side
    441,982.83x = 428,615,804,492.19
  5. Step 5: Solve for x
    x = 428,615,804,492.19/441,982.83
  6. Step 6: Final answer
    x = 969,756.69

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.