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Finding the Third Proportional to 400,288.50 and 608,680.50

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Solution

The third proportional to 400,288.50 and 608,680.50 is: 925,562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,288.50 : 608,680.50 = 608,680.50 : x
  2. Step 2: Convert to fraction form
    400,288.50/608,680.50 = 608,680.50/x
  3. Step 3: Cross multiply
    400,288.50x = 608,680.50 × 608,680.50
  4. Step 4: Simplify right side
    400,288.50x = 370,491,951,080.25
  5. Step 5: Solve for x
    x = 370,491,951,080.25/400,288.50
  6. Step 6: Final answer
    x = 925,562.32

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.