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Finding the Third Proportional to 593.26 and 837.69

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Solution

The third proportional to 593.26 and 837.69 is: 1,182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.26 : 837.69 = 837.69 : x
  2. Step 2: Convert to fraction form
    593.26/837.69 = 837.69/x
  3. Step 3: Cross multiply
    593.26x = 837.69 × 837.69
  4. Step 4: Simplify right side
    593.26x = 701,717.08
  5. Step 5: Solve for x
    x = 701,717.08/593.26
  6. Step 6: Final answer
    x = 1,182.81

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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.