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Finding the Third Proportional to 364,432 and 800,612

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Solution

The third proportional to 364,432 and 800,612 is: 1,758,845.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,432 : 800,612 = 800,612 : x
  2. Step 2: Convert to fraction form
    364,432/800,612 = 800,612/x
  3. Step 3: Cross multiply
    364,432x = 800,612 × 800,612
  4. Step 4: Simplify right side
    364,432x = 640,979,574,544
  5. Step 5: Solve for x
    x = 640,979,574,544/364,432
  6. Step 6: Final answer
    x = 1,758,845.48

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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.