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Finding the Third Proportional to 364,370 and 800,479

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Solution

The third proportional to 364,370 and 800,479 is: 1,758,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,370 : 800,479 = 800,479 : x
  2. Step 2: Convert to fraction form
    364,370/800,479 = 800,479/x
  3. Step 3: Cross multiply
    364,370x = 800,479 × 800,479
  4. Step 4: Simplify right side
    364,370x = 640,766,629,441
  5. Step 5: Solve for x
    x = 640,766,629,441/364,370
  6. Step 6: Final answer
    x = 1,758,560.34

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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.