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Finding the Third Proportional to 831.50 and 1,214.75

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Solution

The third proportional to 831.50 and 1,214.75 is: 1,774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.50 : 1,214.75 = 1,214.75 : x
  2. Step 2: Convert to fraction form
    831.50/1,214.75 = 1,214.75/x
  3. Step 3: Cross multiply
    831.50x = 1,214.75 × 1,214.75
  4. Step 4: Simplify right side
    831.50x = 1,475,617.56
  5. Step 5: Solve for x
    x = 1,475,617.56/831.50
  6. Step 6: Final answer
    x = 1,774.65

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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.