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Finding the Third Proportional to 281,348.44 and 614,359.69

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Solution

The third proportional to 281,348.44 and 614,359.69 is: 1,341,531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,348.44 : 614,359.69 = 614,359.69 : x
  2. Step 2: Convert to fraction form
    281,348.44/614,359.69 = 614,359.69/x
  3. Step 3: Cross multiply
    281,348.44x = 614,359.69 × 614,359.69
  4. Step 4: Simplify right side
    281,348.44x = 377,437,825,625.10
  5. Step 5: Solve for x
    x = 377,437,825,625.10/281,348.44
  6. Step 6: Final answer
    x = 1,341,531.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.