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Finding the Third Proportional to 280,396.13 and 608,115.38

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Solution

The third proportional to 280,396.13 and 608,115.38 is: 1,318,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,396.13 : 608,115.38 = 608,115.38 : x
  2. Step 2: Convert to fraction form
    280,396.13/608,115.38 = 608,115.38/x
  3. Step 3: Cross multiply
    280,396.13x = 608,115.38 × 608,115.38
  4. Step 4: Simplify right side
    280,396.13x = 369,804,309,311.39
  5. Step 5: Solve for x
    x = 369,804,309,311.39/280,396.13
  6. Step 6: Final answer
    x = 1,318,863.84

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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.