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Finding the Third Proportional to 264,035 and 567,874

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Solution

The third proportional to 264,035 and 567,874 is: 1,221,356.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,035 : 567,874 = 567,874 : x
  2. Step 2: Convert to fraction form
    264,035/567,874 = 567,874/x
  3. Step 3: Cross multiply
    264,035x = 567,874 × 567,874
  4. Step 4: Simplify right side
    264,035x = 322,480,879,876
  5. Step 5: Solve for x
    x = 322,480,879,876/264,035
  6. Step 6: Final answer
    x = 1,221,356.56

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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.