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Finding the Third Proportional to 262,134 and 568,656

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Solution

The third proportional to 262,134 and 568,656 is: 1,233,604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,134 : 568,656 = 568,656 : x
  2. Step 2: Convert to fraction form
    262,134/568,656 = 568,656/x
  3. Step 3: Cross multiply
    262,134x = 568,656 × 568,656
  4. Step 4: Simplify right side
    262,134x = 323,369,646,336
  5. Step 5: Solve for x
    x = 323,369,646,336/262,134
  6. Step 6: Final answer
    x = 1,233,604.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.