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Finding the Third Proportional to 224,665 and 489,004

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Solution

The third proportional to 224,665 and 489,004 is: 1,064,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,665 : 489,004 = 489,004 : x
  2. Step 2: Convert to fraction form
    224,665/489,004 = 489,004/x
  3. Step 3: Cross multiply
    224,665x = 489,004 × 489,004
  4. Step 4: Simplify right side
    224,665x = 239,124,912,016
  5. Step 5: Solve for x
    x = 239,124,912,016/224,665
  6. Step 6: Final answer
    x = 1,064,362.10

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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.