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Finding the Third Proportional to 545.81 and 831.56

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Solution

The third proportional to 545.81 and 831.56 is: 1,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.81 : 831.56 = 831.56 : x
  2. Step 2: Convert to fraction form
    545.81/831.56 = 831.56/x
  3. Step 3: Cross multiply
    545.81x = 831.56 × 831.56
  4. Step 4: Simplify right side
    545.81x = 691,496.19
  5. Step 5: Solve for x
    x = 691,496.19/545.81
  6. Step 6: Final answer
    x = 1,266.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.