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Finding the Third Proportional to 488,161 and 755,796

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Solution

The third proportional to 488,161 and 755,796 is: 1,170,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,161 : 755,796 = 755,796 : x
  2. Step 2: Convert to fraction form
    488,161/755,796 = 755,796/x
  3. Step 3: Cross multiply
    488,161x = 755,796 × 755,796
  4. Step 4: Simplify right side
    488,161x = 571,227,593,616
  5. Step 5: Solve for x
    x = 571,227,593,616/488,161
  6. Step 6: Final answer
    x = 1,170,162.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.