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Finding the Third Proportional to 323,309 and 489,441

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Solution

The third proportional to 323,309 and 489,441 is: 740,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,309 : 489,441 = 489,441 : x
  2. Step 2: Convert to fraction form
    323,309/489,441 = 489,441/x
  3. Step 3: Cross multiply
    323,309x = 489,441 × 489,441
  4. Step 4: Simplify right side
    323,309x = 239,552,492,481
  5. Step 5: Solve for x
    x = 239,552,492,481/323,309
  6. Step 6: Final answer
    x = 740,939.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.