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Finding the Third Proportional to 363,773 and 793,624

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Solution

The third proportional to 363,773 and 793,624 is: 1,731,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,773 : 793,624 = 793,624 : x
  2. Step 2: Convert to fraction form
    363,773/793,624 = 793,624/x
  3. Step 3: Cross multiply
    363,773x = 793,624 × 793,624
  4. Step 4: Simplify right side
    363,773x = 629,839,053,376
  5. Step 5: Solve for x
    x = 629,839,053,376/363,773
  6. Step 6: Final answer
    x = 1,731,406.82

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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.