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Finding the Third Proportional to 354,633 and 769,548

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Solution

The third proportional to 354,633 and 769,548 is: 1,669,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,633 : 769,548 = 769,548 : x
  2. Step 2: Convert to fraction form
    354,633/769,548 = 769,548/x
  3. Step 3: Cross multiply
    354,633x = 769,548 × 769,548
  4. Step 4: Simplify right side
    354,633x = 592,204,124,304
  5. Step 5: Solve for x
    x = 592,204,124,304/354,633
  6. Step 6: Final answer
    x = 1,669,906.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.