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Finding the Third Proportional to 263,068 and 568,175

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Solution

The third proportional to 263,068 and 568,175 is: 1,227,145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,068 : 568,175 = 568,175 : x
  2. Step 2: Convert to fraction form
    263,068/568,175 = 568,175/x
  3. Step 3: Cross multiply
    263,068x = 568,175 × 568,175
  4. Step 4: Simplify right side
    263,068x = 322,822,830,625
  5. Step 5: Solve for x
    x = 322,822,830,625/263,068
  6. Step 6: Final answer
    x = 1,227,145.95

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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.