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Finding the Third Proportional to 363,826 and 787,436

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Solution

The third proportional to 363,826 and 787,436 is: 1,704,263.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,826 : 787,436 = 787,436 : x
  2. Step 2: Convert to fraction form
    363,826/787,436 = 787,436/x
  3. Step 3: Cross multiply
    363,826x = 787,436 × 787,436
  4. Step 4: Simplify right side
    363,826x = 620,055,454,096
  5. Step 5: Solve for x
    x = 620,055,454,096/363,826
  6. Step 6: Final answer
    x = 1,704,263.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.