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Finding the Third Proportional to 282,612.38 and 614,310.75

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Solution

The third proportional to 282,612.38 and 614,310.75 is: 1,335,319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,612.38 : 614,310.75 = 614,310.75 : x
  2. Step 2: Convert to fraction form
    282,612.38/614,310.75 = 614,310.75/x
  3. Step 3: Cross multiply
    282,612.38x = 614,310.75 × 614,310.75
  4. Step 4: Simplify right side
    282,612.38x = 377,377,697,565.56
  5. Step 5: Solve for x
    x = 377,377,697,565.56/282,612.38
  6. Step 6: Final answer
    x = 1,335,319.08

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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.