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Finding the Third Proportional to 226,476 and 489,834

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Solution

The third proportional to 226,476 and 489,834 is: 1,059,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,476 : 489,834 = 489,834 : x
  2. Step 2: Convert to fraction form
    226,476/489,834 = 489,834/x
  3. Step 3: Cross multiply
    226,476x = 489,834 × 489,834
  4. Step 4: Simplify right side
    226,476x = 239,937,347,556
  5. Step 5: Solve for x
    x = 239,937,347,556/226,476
  6. Step 6: Final answer
    x = 1,059,438.30

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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.