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Finding the Third Proportional to 417.56 and 593.06

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Solution

The third proportional to 417.56 and 593.06 is: 842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.56 : 593.06 = 593.06 : x
  2. Step 2: Convert to fraction form
    417.56/593.06 = 593.06/x
  3. Step 3: Cross multiply
    417.56x = 593.06 × 593.06
  4. Step 4: Simplify right side
    417.56x = 351,723.13
  5. Step 5: Solve for x
    x = 351,723.13/417.56
  6. Step 6: Final answer
    x = 842.32

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.