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Finding the Third Proportional to 347.63 and 532.41

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Solution

The third proportional to 347.63 and 532.41 is: 815.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.63 : 532.41 = 532.41 : x
  2. Step 2: Convert to fraction form
    347.63/532.41 = 532.41/x
  3. Step 3: Cross multiply
    347.63x = 532.41 × 532.41
  4. Step 4: Simplify right side
    347.63x = 283,456.42
  5. Step 5: Solve for x
    x = 283,456.42/347.63
  6. Step 6: Final answer
    x = 815.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.