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Finding the Third Proportional to 363,839 and 765,376

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Solution

The third proportional to 363,839 and 765,376 is: 1,610,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,839 : 765,376 = 765,376 : x
  2. Step 2: Convert to fraction form
    363,839/765,376 = 765,376/x
  3. Step 3: Cross multiply
    363,839x = 765,376 × 765,376
  4. Step 4: Simplify right side
    363,839x = 585,800,421,376
  5. Step 5: Solve for x
    x = 585,800,421,376/363,839
  6. Step 6: Final answer
    x = 1,610,053.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.