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Finding the Third Proportional to 397.13 and 520.13

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Solution

The third proportional to 397.13 and 520.13 is: 681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.13 : 520.13 = 520.13 : x
  2. Step 2: Convert to fraction form
    397.13/520.13 = 520.13/x
  3. Step 3: Cross multiply
    397.13x = 520.13 × 520.13
  4. Step 4: Simplify right side
    397.13x = 270,530.02
  5. Step 5: Solve for x
    x = 270,530.02/397.13
  6. Step 6: Final answer
    x = 681.22

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.