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Finding the Third Proportional to 263,333 and 566,628

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Solution

The third proportional to 263,333 and 566,628 is: 1,219,244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,333 : 566,628 = 566,628 : x
  2. Step 2: Convert to fraction form
    263,333/566,628 = 566,628/x
  3. Step 3: Cross multiply
    263,333x = 566,628 × 566,628
  4. Step 4: Simplify right side
    263,333x = 321,067,290,384
  5. Step 5: Solve for x
    x = 321,067,290,384/263,333
  6. Step 6: Final answer
    x = 1,219,244.42

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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.