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Finding the Third Proportional to 263,071 and 568,178

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Solution

The third proportional to 263,071 and 568,178 is: 1,227,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,071 : 568,178 = 568,178 : x
  2. Step 2: Convert to fraction form
    263,071/568,178 = 568,178/x
  3. Step 3: Cross multiply
    263,071x = 568,178 × 568,178
  4. Step 4: Simplify right side
    263,071x = 322,826,239,684
  5. Step 5: Solve for x
    x = 322,826,239,684/263,071
  6. Step 6: Final answer
    x = 1,227,144.91

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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.