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Finding the Third Proportional to 351,780 and 850,282

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Solution

The third proportional to 351,780 and 850,282 is: 2,055,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,780 : 850,282 = 850,282 : x
  2. Step 2: Convert to fraction form
    351,780/850,282 = 850,282/x
  3. Step 3: Cross multiply
    351,780x = 850,282 × 850,282
  4. Step 4: Simplify right side
    351,780x = 722,979,479,524
  5. Step 5: Solve for x
    x = 722,979,479,524/351,780
  6. Step 6: Final answer
    x = 2,055,203.48

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.