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Finding the Third Proportional to 400.13 and 558.38

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Solution

The third proportional to 400.13 and 558.38 is: 779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.13 : 558.38 = 558.38 : x
  2. Step 2: Convert to fraction form
    400.13/558.38 = 558.38/x
  3. Step 3: Cross multiply
    400.13x = 558.38 × 558.38
  4. Step 4: Simplify right side
    400.13x = 311,782.64
  5. Step 5: Solve for x
    x = 311,782.64/400.13
  6. Step 6: Final answer
    x = 779.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.