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Finding the Third Proportional to 294.43 and 433.48

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Solution

The third proportional to 294.43 and 433.48 is: 638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.43 : 433.48 = 433.48 : x
  2. Step 2: Convert to fraction form
    294.43/433.48 = 433.48/x
  3. Step 3: Cross multiply
    294.43x = 433.48 × 433.48
  4. Step 4: Simplify right side
    294.43x = 187,901.93
  5. Step 5: Solve for x
    x = 187,901.93/294.43
  6. Step 6: Final answer
    x = 638.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.