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Finding the Third Proportional to 229,376 and 489,856

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Solution

The third proportional to 229,376 and 489,856 is: 1,046,137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,376 : 489,856 = 489,856 : x
  2. Step 2: Convert to fraction form
    229,376/489,856 = 489,856/x
  3. Step 3: Cross multiply
    229,376x = 489,856 × 489,856
  4. Step 4: Simplify right side
    229,376x = 239,958,900,736
  5. Step 5: Solve for x
    x = 239,958,900,736/229,376
  6. Step 6: Final answer
    x = 1,046,137.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.