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Finding the Third Proportional to 355,652 and 839,538

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Solution

The third proportional to 355,652 and 839,538 is: 1,981,780.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,652 : 839,538 = 839,538 : x
  2. Step 2: Convert to fraction form
    355,652/839,538 = 839,538/x
  3. Step 3: Cross multiply
    355,652x = 839,538 × 839,538
  4. Step 4: Simplify right side
    355,652x = 704,824,053,444
  5. Step 5: Solve for x
    x = 704,824,053,444/355,652
  6. Step 6: Final answer
    x = 1,981,780.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.