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Finding the Third Proportional to 511,031 and 694,322

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Solution

The third proportional to 511,031 and 694,322 is: 943,353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,031 : 694,322 = 694,322 : x
  2. Step 2: Convert to fraction form
    511,031/694,322 = 694,322/x
  3. Step 3: Cross multiply
    511,031x = 694,322 × 694,322
  4. Step 4: Simplify right side
    511,031x = 482,083,039,684
  5. Step 5: Solve for x
    x = 482,083,039,684/511,031
  6. Step 6: Final answer
    x = 943,353.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.