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Finding the Third Proportional to 564.38 and 831.38

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Solution

The third proportional to 564.38 and 831.38 is: 1,224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.38 : 831.38 = 831.38 : x
  2. Step 2: Convert to fraction form
    564.38/831.38 = 831.38/x
  3. Step 3: Cross multiply
    564.38x = 831.38 × 831.38
  4. Step 4: Simplify right side
    564.38x = 691,184.39
  5. Step 5: Solve for x
    x = 691,184.39/564.38
  6. Step 6: Final answer
    x = 1,224.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.