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Finding the Third Proportional to 355,594 and 839,412

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Solution

The third proportional to 355,594 and 839,412 is: 1,981,508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,594 : 839,412 = 839,412 : x
  2. Step 2: Convert to fraction form
    355,594/839,412 = 839,412/x
  3. Step 3: Cross multiply
    355,594x = 839,412 × 839,412
  4. Step 4: Simplify right side
    355,594x = 704,612,505,744
  5. Step 5: Solve for x
    x = 704,612,505,744/355,594
  6. Step 6: Final answer
    x = 1,981,508.42

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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.