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Finding the Third Proportional to 353,682 and 773,331

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Solution

The third proportional to 353,682 and 773,331 is: 1,690,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,682 : 773,331 = 773,331 : x
  2. Step 2: Convert to fraction form
    353,682/773,331 = 773,331/x
  3. Step 3: Cross multiply
    353,682x = 773,331 × 773,331
  4. Step 4: Simplify right side
    353,682x = 598,040,835,561
  5. Step 5: Solve for x
    x = 598,040,835,561/353,682
  6. Step 6: Final answer
    x = 1,690,899.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.