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Finding the Third Proportional to 363,704 and 790,364

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Solution

The third proportional to 363,704 and 790,364 is: 1,717,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,704 : 790,364 = 790,364 : x
  2. Step 2: Convert to fraction form
    363,704/790,364 = 790,364/x
  3. Step 3: Cross multiply
    363,704x = 790,364 × 790,364
  4. Step 4: Simplify right side
    363,704x = 624,675,252,496
  5. Step 5: Solve for x
    x = 624,675,252,496/363,704
  6. Step 6: Final answer
    x = 1,717,537.48

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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.