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Finding the Third Proportional to 280,690.88 and 613,869.75

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Solution

The third proportional to 280,690.88 and 613,869.75 is: 1,342,530.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,690.88 : 613,869.75 = 613,869.75 : x
  2. Step 2: Convert to fraction form
    280,690.88/613,869.75 = 613,869.75/x
  3. Step 3: Cross multiply
    280,690.88x = 613,869.75 × 613,869.75
  4. Step 4: Simplify right side
    280,690.88x = 376,836,069,965.06
  5. Step 5: Solve for x
    x = 376,836,069,965.06/280,690.88
  6. Step 6: Final answer
    x = 1,342,530.53

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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.