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Finding the Third Proportional to 282,404.25 and 610,695

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Solution

The third proportional to 282,404.25 and 610,695 is: 1,320,618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,404.25 : 610,695 = 610,695 : x
  2. Step 2: Convert to fraction form
    282,404.25/610,695 = 610,695/x
  3. Step 3: Cross multiply
    282,404.25x = 610,695 × 610,695
  4. Step 4: Simplify right side
    282,404.25x = 372,948,383,025
  5. Step 5: Solve for x
    x = 372,948,383,025/282,404.25
  6. Step 6: Final answer
    x = 1,320,618.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.