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Finding the Third Proportional to 363,231.84 and 791,858.53

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Solution

The third proportional to 363,231.84 and 791,858.53 is: 1,726,280.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,231.84 : 791,858.53 = 791,858.53 : x
  2. Step 2: Convert to fraction form
    363,231.84/791,858.53 = 791,858.53/x
  3. Step 3: Cross multiply
    363,231.84x = 791,858.53 × 791,858.53
  4. Step 4: Simplify right side
    363,231.84x = 627,039,933,513.41
  5. Step 5: Solve for x
    x = 627,039,933,513.41/363,231.84
  6. Step 6: Final answer
    x = 1,726,280.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.