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Finding the Third Proportional to 364,379 and 800,497

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Solution

The third proportional to 364,379 and 800,497 is: 1,758,595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,379 : 800,497 = 800,497 : x
  2. Step 2: Convert to fraction form
    364,379/800,497 = 800,497/x
  3. Step 3: Cross multiply
    364,379x = 800,497 × 800,497
  4. Step 4: Simplify right side
    364,379x = 640,795,447,009
  5. Step 5: Solve for x
    x = 640,795,447,009/364,379
  6. Step 6: Final answer
    x = 1,758,595.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.