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Finding the Third Proportional to 422.81 and 595.13

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Solution

The third proportional to 422.81 and 595.13 is: 837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.81 : 595.13 = 595.13 : x
  2. Step 2: Convert to fraction form
    422.81/595.13 = 595.13/x
  3. Step 3: Cross multiply
    422.81x = 595.13 × 595.13
  4. Step 4: Simplify right side
    422.81x = 354,173.77
  5. Step 5: Solve for x
    x = 354,173.77/422.81
  6. Step 6: Final answer
    x = 837.66

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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.