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Finding the Third Proportional to 263,074 and 568,184

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Solution

The third proportional to 263,074 and 568,184 is: 1,227,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,074 : 568,184 = 568,184 : x
  2. Step 2: Convert to fraction form
    263,074/568,184 = 568,184/x
  3. Step 3: Cross multiply
    263,074x = 568,184 × 568,184
  4. Step 4: Simplify right side
    263,074x = 322,833,057,856
  5. Step 5: Solve for x
    x = 322,833,057,856/263,074
  6. Step 6: Final answer
    x = 1,227,156.84

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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.