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Finding the Third Proportional to 234,734 and 489,322

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Solution

The third proportional to 234,734 and 489,322 is: 1,020,031.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,734 : 489,322 = 489,322 : x
  2. Step 2: Convert to fraction form
    234,734/489,322 = 489,322/x
  3. Step 3: Cross multiply
    234,734x = 489,322 × 489,322
  4. Step 4: Simplify right side
    234,734x = 239,436,019,684
  5. Step 5: Solve for x
    x = 239,436,019,684/234,734
  6. Step 6: Final answer
    x = 1,020,031.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.