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Finding the Third Proportional to 393,468 and 844,284

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Solution

The third proportional to 393,468 and 844,284 is: 1,811,622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,468 : 844,284 = 844,284 : x
  2. Step 2: Convert to fraction form
    393,468/844,284 = 844,284/x
  3. Step 3: Cross multiply
    393,468x = 844,284 × 844,284
  4. Step 4: Simplify right side
    393,468x = 712,815,472,656
  5. Step 5: Solve for x
    x = 712,815,472,656/393,468
  6. Step 6: Final answer
    x = 1,811,622.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.