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Finding the Third Proportional to 385,641 and 800,442

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Solution

The third proportional to 385,641 and 800,442 is: 1,661,408.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,641 : 800,442 = 800,442 : x
  2. Step 2: Convert to fraction form
    385,641/800,442 = 800,442/x
  3. Step 3: Cross multiply
    385,641x = 800,442 × 800,442
  4. Step 4: Simplify right side
    385,641x = 640,707,395,364
  5. Step 5: Solve for x
    x = 640,707,395,364/385,641
  6. Step 6: Final answer
    x = 1,661,408.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.