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Finding the Third Proportional to 347.91 and 496.83

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Solution

The third proportional to 347.91 and 496.83 is: 709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.91 : 496.83 = 496.83 : x
  2. Step 2: Convert to fraction form
    347.91/496.83 = 496.83/x
  3. Step 3: Cross multiply
    347.91x = 496.83 × 496.83
  4. Step 4: Simplify right side
    347.91x = 246,838.19
  5. Step 5: Solve for x
    x = 246,838.19/347.91
  6. Step 6: Final answer
    x = 709.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.