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Finding the Third Proportional to 263,452 and 566,918

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Solution

The third proportional to 263,452 and 566,918 is: 1,219,941.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,452 : 566,918 = 566,918 : x
  2. Step 2: Convert to fraction form
    263,452/566,918 = 566,918/x
  3. Step 3: Cross multiply
    263,452x = 566,918 × 566,918
  4. Step 4: Simplify right side
    263,452x = 321,396,018,724
  5. Step 5: Solve for x
    x = 321,396,018,724/263,452
  6. Step 6: Final answer
    x = 1,219,941.46

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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.