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Finding the Third Proportional to 563 and 749.50

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Solution

The third proportional to 563 and 749.50 is: 997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    563 : 749.50 = 749.50 : x
  2. Step 2: Convert to fraction form
    563/749.50 = 749.50/x
  3. Step 3: Cross multiply
    563x = 749.50 × 749.50
  4. Step 4: Simplify right side
    563x = 561,750.25
  5. Step 5: Solve for x
    x = 561,750.25/563
  6. Step 6: Final answer
    x = 997.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.