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Finding the Third Proportional to 225,928 and 489,048

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Solution

The third proportional to 225,928 and 489,048 is: 1,058,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,928 : 489,048 = 489,048 : x
  2. Step 2: Convert to fraction form
    225,928/489,048 = 489,048/x
  3. Step 3: Cross multiply
    225,928x = 489,048 × 489,048
  4. Step 4: Simplify right side
    225,928x = 239,167,946,304
  5. Step 5: Solve for x
    x = 239,167,946,304/225,928
  6. Step 6: Final answer
    x = 1,058,602.50

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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.