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Finding the Third Proportional to 589.92 and 832.78

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Solution

The third proportional to 589.92 and 832.78 is: 1,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.92 : 832.78 = 832.78 : x
  2. Step 2: Convert to fraction form
    589.92/832.78 = 832.78/x
  3. Step 3: Cross multiply
    589.92x = 832.78 × 832.78
  4. Step 4: Simplify right side
    589.92x = 693,524.61
  5. Step 5: Solve for x
    x = 693,524.61/589.92
  6. Step 6: Final answer
    x = 1,175.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.