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Finding the Third Proportional to 217,932 and 461,831.25

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Solution

The third proportional to 217,932 and 461,831.25 is: 978,691.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,932 : 461,831.25 = 461,831.25 : x
  2. Step 2: Convert to fraction form
    217,932/461,831.25 = 461,831.25/x
  3. Step 3: Cross multiply
    217,932x = 461,831.25 × 461,831.25
  4. Step 4: Simplify right side
    217,932x = 213,288,103,476.56
  5. Step 5: Solve for x
    x = 213,288,103,476.56/217,932
  6. Step 6: Final answer
    x = 978,691.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.