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Finding the Third Proportional to 385.22 and 593.06

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Solution

The third proportional to 385.22 and 593.06 is: 913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.22 : 593.06 = 593.06 : x
  2. Step 2: Convert to fraction form
    385.22/593.06 = 593.06/x
  3. Step 3: Cross multiply
    385.22x = 593.06 × 593.06
  4. Step 4: Simplify right side
    385.22x = 351,723.13
  5. Step 5: Solve for x
    x = 351,723.13/385.22
  6. Step 6: Final answer
    x = 913.05

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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.