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Finding the Third Proportional to 578.50 and 847.75

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Solution

The third proportional to 578.50 and 847.75 is: 1,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.50 : 847.75 = 847.75 : x
  2. Step 2: Convert to fraction form
    578.50/847.75 = 847.75/x
  3. Step 3: Cross multiply
    578.50x = 847.75 × 847.75
  4. Step 4: Simplify right side
    578.50x = 718,680.06
  5. Step 5: Solve for x
    x = 718,680.06/578.50
  6. Step 6: Final answer
    x = 1,242.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.