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Finding the Third Proportional to 225,279 and 489,924

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Solution

The third proportional to 225,279 and 489,924 is: 1,065,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,279 : 489,924 = 489,924 : x
  2. Step 2: Convert to fraction form
    225,279/489,924 = 489,924/x
  3. Step 3: Cross multiply
    225,279x = 489,924 × 489,924
  4. Step 4: Simplify right side
    225,279x = 240,025,525,776
  5. Step 5: Solve for x
    x = 240,025,525,776/225,279
  6. Step 6: Final answer
    x = 1,065,458.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.