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Finding the Third Proportional to 180,462 and 391,660

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Solution

The third proportional to 180,462 and 391,660 is: 850,026.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,462 : 391,660 = 391,660 : x
  2. Step 2: Convert to fraction form
    180,462/391,660 = 391,660/x
  3. Step 3: Cross multiply
    180,462x = 391,660 × 391,660
  4. Step 4: Simplify right side
    180,462x = 153,397,555,600
  5. Step 5: Solve for x
    x = 153,397,555,600/180,462
  6. Step 6: Final answer
    x = 850,026.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.