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Finding the Third Proportional to 365.38 and 566.13

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Solution

The third proportional to 365.38 and 566.13 is: 877.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.38 : 566.13 = 566.13 : x
  2. Step 2: Convert to fraction form
    365.38/566.13 = 566.13/x
  3. Step 3: Cross multiply
    365.38x = 566.13 × 566.13
  4. Step 4: Simplify right side
    365.38x = 320,497.52
  5. Step 5: Solve for x
    x = 320,497.52/365.38
  6. Step 6: Final answer
    x = 877.17

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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.