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Finding the Third Proportional to 363,586 and 744,794

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Solution

The third proportional to 363,586 and 744,794 is: 1,525,686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,586 : 744,794 = 744,794 : x
  2. Step 2: Convert to fraction form
    363,586/744,794 = 744,794/x
  3. Step 3: Cross multiply
    363,586x = 744,794 × 744,794
  4. Step 4: Simplify right side
    363,586x = 554,718,102,436
  5. Step 5: Solve for x
    x = 554,718,102,436/363,586
  6. Step 6: Final answer
    x = 1,525,686.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.