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Finding the Third Proportional to 351,633 and 755,694

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Solution

The third proportional to 351,633 and 755,694 is: 1,624,060.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,633 : 755,694 = 755,694 : x
  2. Step 2: Convert to fraction form
    351,633/755,694 = 755,694/x
  3. Step 3: Cross multiply
    351,633x = 755,694 × 755,694
  4. Step 4: Simplify right side
    351,633x = 571,073,421,636
  5. Step 5: Solve for x
    x = 571,073,421,636/351,633
  6. Step 6: Final answer
    x = 1,624,060.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.