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Finding the Third Proportional to 353,666 and 773,302

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Solution

The third proportional to 353,666 and 773,302 is: 1,690,849.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,666 : 773,302 = 773,302 : x
  2. Step 2: Convert to fraction form
    353,666/773,302 = 773,302/x
  3. Step 3: Cross multiply
    353,666x = 773,302 × 773,302
  4. Step 4: Simplify right side
    353,666x = 597,995,983,204
  5. Step 5: Solve for x
    x = 597,995,983,204/353,666
  6. Step 6: Final answer
    x = 1,690,849.51

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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.