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Finding the Third Proportional to 596.25 and 763.50

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Solution

The third proportional to 596.25 and 763.50 is: 977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.25 : 763.50 = 763.50 : x
  2. Step 2: Convert to fraction form
    596.25/763.50 = 763.50/x
  3. Step 3: Cross multiply
    596.25x = 763.50 × 763.50
  4. Step 4: Simplify right side
    596.25x = 582,932.25
  5. Step 5: Solve for x
    x = 582,932.25/596.25
  6. Step 6: Final answer
    x = 977.66

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.