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Finding the Third Proportional to 297.42 and 471.76

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Solution

The third proportional to 297.42 and 471.76 is: 748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.42 : 471.76 = 471.76 : x
  2. Step 2: Convert to fraction form
    297.42/471.76 = 471.76/x
  3. Step 3: Cross multiply
    297.42x = 471.76 × 471.76
  4. Step 4: Simplify right side
    297.42x = 222,559.12
  5. Step 5: Solve for x
    x = 222,559.12/297.42
  6. Step 6: Final answer
    x = 748.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.