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Finding the Third Proportional to 263,420 and 568,958

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Solution

The third proportional to 263,420 and 568,958 is: 1,228,886.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,420 : 568,958 = 568,958 : x
  2. Step 2: Convert to fraction form
    263,420/568,958 = 568,958/x
  3. Step 3: Cross multiply
    263,420x = 568,958 × 568,958
  4. Step 4: Simplify right side
    263,420x = 323,713,205,764
  5. Step 5: Solve for x
    x = 323,713,205,764/263,420
  6. Step 6: Final answer
    x = 1,228,886.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.