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Finding the Third Proportional to 567,199 and 850,799

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Solution

The third proportional to 567,199 and 850,799 is: 1,276,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,199 : 850,799 = 850,799 : x
  2. Step 2: Convert to fraction form
    567,199/850,799 = 850,799/x
  3. Step 3: Cross multiply
    567,199x = 850,799 × 850,799
  4. Step 4: Simplify right side
    567,199x = 723,858,938,401
  5. Step 5: Solve for x
    x = 723,858,938,401/567,199
  6. Step 6: Final answer
    x = 1,276,199.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.