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Finding the Third Proportional to 347.41 and 536.31

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Solution

The third proportional to 347.41 and 536.31 is: 827.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.41 : 536.31 = 536.31 : x
  2. Step 2: Convert to fraction form
    347.41/536.31 = 536.31/x
  3. Step 3: Cross multiply
    347.41x = 536.31 × 536.31
  4. Step 4: Simplify right side
    347.41x = 287,626.91
  5. Step 5: Solve for x
    x = 287,626.91/347.41
  6. Step 6: Final answer
    x = 827.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.