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Finding the Third Proportional to 224,686 and 489,048

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Solution

The third proportional to 224,686 and 489,048 is: 1,064,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,686 : 489,048 = 489,048 : x
  2. Step 2: Convert to fraction form
    224,686/489,048 = 489,048/x
  3. Step 3: Cross multiply
    224,686x = 489,048 × 489,048
  4. Step 4: Simplify right side
    224,686x = 239,167,946,304
  5. Step 5: Solve for x
    x = 239,167,946,304/224,686
  6. Step 6: Final answer
    x = 1,064,454.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.