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Finding the Third Proportional to 224,967 and 489,299

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Solution

The third proportional to 224,967 and 489,299 is: 1,064,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,967 : 489,299 = 489,299 : x
  2. Step 2: Convert to fraction form
    224,967/489,299 = 489,299/x
  3. Step 3: Cross multiply
    224,967x = 489,299 × 489,299
  4. Step 4: Simplify right side
    224,967x = 239,413,511,401
  5. Step 5: Solve for x
    x = 239,413,511,401/224,967
  6. Step 6: Final answer
    x = 1,064,216.14

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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.