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Finding the Third Proportional to 475.13 and 735.38

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Solution

The third proportional to 475.13 and 735.38 is: 1,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.13 : 735.38 = 735.38 : x
  2. Step 2: Convert to fraction form
    475.13/735.38 = 735.38/x
  3. Step 3: Cross multiply
    475.13x = 735.38 × 735.38
  4. Step 4: Simplify right side
    475.13x = 540,776.39
  5. Step 5: Solve for x
    x = 540,776.39/475.13
  6. Step 6: Final answer
    x = 1,138.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.