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Finding the Third Proportional to 323,282 and 489,411

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Solution

The third proportional to 323,282 and 489,411 is: 740,910.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,282 : 489,411 = 489,411 : x
  2. Step 2: Convert to fraction form
    323,282/489,411 = 489,411/x
  3. Step 3: Cross multiply
    323,282x = 489,411 × 489,411
  4. Step 4: Simplify right side
    323,282x = 239,523,126,921
  5. Step 5: Solve for x
    x = 239,523,126,921/323,282
  6. Step 6: Final answer
    x = 740,910.81

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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.