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Finding the Third Proportional to 284,794 and 606,398

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Solution

The third proportional to 284,794 and 606,398 is: 1,291,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,794 : 606,398 = 606,398 : x
  2. Step 2: Convert to fraction form
    284,794/606,398 = 606,398/x
  3. Step 3: Cross multiply
    284,794x = 606,398 × 606,398
  4. Step 4: Simplify right side
    284,794x = 367,718,534,404
  5. Step 5: Solve for x
    x = 367,718,534,404/284,794
  6. Step 6: Final answer
    x = 1,291,173.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.