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Finding the Third Proportional to 281,409.38 and 615,366.75

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Solution

The third proportional to 281,409.38 and 615,366.75 is: 1,345,641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,409.38 : 615,366.75 = 615,366.75 : x
  2. Step 2: Convert to fraction form
    281,409.38/615,366.75 = 615,366.75/x
  3. Step 3: Cross multiply
    281,409.38x = 615,366.75 × 615,366.75
  4. Step 4: Simplify right side
    281,409.38x = 378,676,237,005.56
  5. Step 5: Solve for x
    x = 378,676,237,005.56/281,409.38
  6. Step 6: Final answer
    x = 1,345,641.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.