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Finding the Third Proportional to 297.42 and 661.92

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Solution

The third proportional to 297.42 and 661.92 is: 1,473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.42 : 661.92 = 661.92 : x
  2. Step 2: Convert to fraction form
    297.42/661.92 = 661.92/x
  3. Step 3: Cross multiply
    297.42x = 661.92 × 661.92
  4. Step 4: Simplify right side
    297.42x = 438,140.57
  5. Step 5: Solve for x
    x = 438,140.57/297.42
  6. Step 6: Final answer
    x = 1,473.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.