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Finding the Third Proportional to 282,609.75 and 614,305.50

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Solution

The third proportional to 282,609.75 and 614,305.50 is: 1,335,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,609.75 : 614,305.50 = 614,305.50 : x
  2. Step 2: Convert to fraction form
    282,609.75/614,305.50 = 614,305.50/x
  3. Step 3: Cross multiply
    282,609.75x = 614,305.50 × 614,305.50
  4. Step 4: Simplify right side
    282,609.75x = 377,371,247,330.25
  5. Step 5: Solve for x
    x = 377,371,247,330.25/282,609.75
  6. Step 6: Final answer
    x = 1,335,308.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.