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Finding the Third Proportional to 565.97 and 1,234.46

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Solution

The third proportional to 565.97 and 1,234.46 is: 2,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.97 : 1,234.46 = 1,234.46 : x
  2. Step 2: Convert to fraction form
    565.97/1,234.46 = 1,234.46/x
  3. Step 3: Cross multiply
    565.97x = 1,234.46 × 1,234.46
  4. Step 4: Simplify right side
    565.97x = 1,523,888.98
  5. Step 5: Solve for x
    x = 1,523,888.98/565.97
  6. Step 6: Final answer
    x = 2,692.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.