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Finding the Third Proportional to 363,767 and 793,612

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Solution

The third proportional to 363,767 and 793,612 is: 1,731,383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,767 : 793,612 = 793,612 : x
  2. Step 2: Convert to fraction form
    363,767/793,612 = 793,612/x
  3. Step 3: Cross multiply
    363,767x = 793,612 × 793,612
  4. Step 4: Simplify right side
    363,767x = 629,820,006,544
  5. Step 5: Solve for x
    x = 629,820,006,544/363,767
  6. Step 6: Final answer
    x = 1,731,383.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.