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Finding the Third Proportional to 364,434 and 800,616

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Solution

The third proportional to 364,434 and 800,616 is: 1,758,853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,434 : 800,616 = 800,616 : x
  2. Step 2: Convert to fraction form
    364,434/800,616 = 800,616/x
  3. Step 3: Cross multiply
    364,434x = 800,616 × 800,616
  4. Step 4: Simplify right side
    364,434x = 640,985,979,456
  5. Step 5: Solve for x
    x = 640,985,979,456/364,434
  6. Step 6: Final answer
    x = 1,758,853.40

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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.