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Finding the Third Proportional to 552,213.70 and 810,135.42

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Solution

The third proportional to 552,213.70 and 810,135.42 is: 1,188,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,213.70 : 810,135.42 = 810,135.42 : x
  2. Step 2: Convert to fraction form
    552,213.70/810,135.42 = 810,135.42/x
  3. Step 3: Cross multiply
    552,213.70x = 810,135.42 × 810,135.42
  4. Step 4: Simplify right side
    552,213.70x = 656,319,401,776.58
  5. Step 5: Solve for x
    x = 656,319,401,776.58/552,213.70
  6. Step 6: Final answer
    x = 1,188,524.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.