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Finding the Third Proportional to 363,966 and 787,548

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Solution

The third proportional to 363,966 and 787,548 is: 1,704,092.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,966 : 787,548 = 787,548 : x
  2. Step 2: Convert to fraction form
    363,966/787,548 = 787,548/x
  3. Step 3: Cross multiply
    363,966x = 787,548 × 787,548
  4. Step 4: Simplify right side
    363,966x = 620,231,852,304
  5. Step 5: Solve for x
    x = 620,231,852,304/363,966
  6. Step 6: Final answer
    x = 1,704,092.83

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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.