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Finding the Third Proportional to 592.50 and 813.25

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Solution

The third proportional to 592.50 and 813.25 is: 1,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.50 : 813.25 = 813.25 : x
  2. Step 2: Convert to fraction form
    592.50/813.25 = 813.25/x
  3. Step 3: Cross multiply
    592.50x = 813.25 × 813.25
  4. Step 4: Simplify right side
    592.50x = 661,375.56
  5. Step 5: Solve for x
    x = 661,375.56/592.50
  6. Step 6: Final answer
    x = 1,116.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.