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Finding the Third Proportional to 384,977 and 794,344

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Solution

The third proportional to 384,977 and 794,344 is: 1,639,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,977 : 794,344 = 794,344 : x
  2. Step 2: Convert to fraction form
    384,977/794,344 = 794,344/x
  3. Step 3: Cross multiply
    384,977x = 794,344 × 794,344
  4. Step 4: Simplify right side
    384,977x = 630,982,390,336
  5. Step 5: Solve for x
    x = 630,982,390,336/384,977
  6. Step 6: Final answer
    x = 1,639,013.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.