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Finding the Third Proportional to 488,163 and 755,799

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Solution

The third proportional to 488,163 and 755,799 is: 1,170,166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,163 : 755,799 = 755,799 : x
  2. Step 2: Convert to fraction form
    488,163/755,799 = 755,799/x
  3. Step 3: Cross multiply
    488,163x = 755,799 × 755,799
  4. Step 4: Simplify right side
    488,163x = 571,232,128,401
  5. Step 5: Solve for x
    x = 571,232,128,401/488,163
  6. Step 6: Final answer
    x = 1,170,166.79

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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.