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Finding the Third Proportional to 226,831.50 and 489,098

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Solution

The third proportional to 226,831.50 and 489,098 is: 1,054,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,831.50 : 489,098 = 489,098 : x
  2. Step 2: Convert to fraction form
    226,831.50/489,098 = 489,098/x
  3. Step 3: Cross multiply
    226,831.50x = 489,098 × 489,098
  4. Step 4: Simplify right side
    226,831.50x = 239,216,853,604
  5. Step 5: Solve for x
    x = 239,216,853,604/226,831.50
  6. Step 6: Final answer
    x = 1,054,601.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.