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Finding the Third Proportional to 401,038 and 862,338

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Solution

The third proportional to 401,038 and 862,338 is: 1,854,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,038 : 862,338 = 862,338 : x
  2. Step 2: Convert to fraction form
    401,038/862,338 = 862,338/x
  3. Step 3: Cross multiply
    401,038x = 862,338 × 862,338
  4. Step 4: Simplify right side
    401,038x = 743,626,826,244
  5. Step 5: Solve for x
    x = 743,626,826,244/401,038
  6. Step 6: Final answer
    x = 1,854,255.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.