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Finding the Third Proportional to 225,324 and 489,576

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Solution

The third proportional to 225,324 and 489,576 is: 1,063,733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,324 : 489,576 = 489,576 : x
  2. Step 2: Convert to fraction form
    225,324/489,576 = 489,576/x
  3. Step 3: Cross multiply
    225,324x = 489,576 × 489,576
  4. Step 4: Simplify right side
    225,324x = 239,684,659,776
  5. Step 5: Solve for x
    x = 239,684,659,776/225,324
  6. Step 6: Final answer
    x = 1,063,733.38

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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.