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Finding the Third Proportional to 294.94 and 462.56

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Solution

The third proportional to 294.94 and 462.56 is: 725.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.94 : 462.56 = 462.56 : x
  2. Step 2: Convert to fraction form
    294.94/462.56 = 462.56/x
  3. Step 3: Cross multiply
    294.94x = 462.56 × 462.56
  4. Step 4: Simplify right side
    294.94x = 213,964.07
  5. Step 5: Solve for x
    x = 213,964.07/294.94
  6. Step 6: Final answer
    x = 725.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.