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Finding the Third Proportional to 400.13 and 584.63

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Solution

The third proportional to 400.13 and 584.63 is: 854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.13 : 584.63 = 584.63 : x
  2. Step 2: Convert to fraction form
    400.13/584.63 = 584.63/x
  3. Step 3: Cross multiply
    400.13x = 584.63 × 584.63
  4. Step 4: Simplify right side
    400.13x = 341,786.39
  5. Step 5: Solve for x
    x = 341,786.39/400.13
  6. Step 6: Final answer
    x = 854.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.