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Finding the Third Proportional to 551,474 and 884,799

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Solution

The third proportional to 551,474 and 884,799 is: 1,419,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,474 : 884,799 = 884,799 : x
  2. Step 2: Convert to fraction form
    551,474/884,799 = 884,799/x
  3. Step 3: Cross multiply
    551,474x = 884,799 × 884,799
  4. Step 4: Simplify right side
    551,474x = 782,869,270,401
  5. Step 5: Solve for x
    x = 782,869,270,401/551,474
  6. Step 6: Final answer
    x = 1,419,594.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.