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Finding the Third Proportional to 578.53 and 866.81

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Solution

The third proportional to 578.53 and 866.81 is: 1,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.53 : 866.81 = 866.81 : x
  2. Step 2: Convert to fraction form
    578.53/866.81 = 866.81/x
  3. Step 3: Cross multiply
    578.53x = 866.81 × 866.81
  4. Step 4: Simplify right side
    578.53x = 751,363.91
  5. Step 5: Solve for x
    x = 751,363.91/578.53
  6. Step 6: Final answer
    x = 1,298.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.