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Finding the Third Proportional to 578.50 and 858.25

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Solution

The third proportional to 578.50 and 858.25 is: 1,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.50 : 858.25 = 858.25 : x
  2. Step 2: Convert to fraction form
    578.50/858.25 = 858.25/x
  3. Step 3: Cross multiply
    578.50x = 858.25 × 858.25
  4. Step 4: Simplify right side
    578.50x = 736,593.06
  5. Step 5: Solve for x
    x = 736,593.06/578.50
  6. Step 6: Final answer
    x = 1,273.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.