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Finding the Third Proportional to 578.50 and 1,213.50

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Solution

The third proportional to 578.50 and 1,213.50 is: 2,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.50 : 1,213.50 = 1,213.50 : x
  2. Step 2: Convert to fraction form
    578.50/1,213.50 = 1,213.50/x
  3. Step 3: Cross multiply
    578.50x = 1,213.50 × 1,213.50
  4. Step 4: Simplify right side
    578.50x = 1,472,582.25
  5. Step 5: Solve for x
    x = 1,472,582.25/578.50
  6. Step 6: Final answer
    x = 2,545.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.