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Finding the Third Proportional to 552,942 and 845,451

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Solution

The third proportional to 552,942 and 845,451 is: 1,292,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,942 : 845,451 = 845,451 : x
  2. Step 2: Convert to fraction form
    552,942/845,451 = 845,451/x
  3. Step 3: Cross multiply
    552,942x = 845,451 × 845,451
  4. Step 4: Simplify right side
    552,942x = 714,787,393,401
  5. Step 5: Solve for x
    x = 714,787,393,401/552,942
  6. Step 6: Final answer
    x = 1,292,698.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.