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Finding the Third Proportional to 262,344 and 562,032

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Solution

The third proportional to 262,344 and 562,032 is: 1,204,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,344 : 562,032 = 562,032 : x
  2. Step 2: Convert to fraction form
    262,344/562,032 = 562,032/x
  3. Step 3: Cross multiply
    262,344x = 562,032 × 562,032
  4. Step 4: Simplify right side
    262,344x = 315,879,969,024
  5. Step 5: Solve for x
    x = 315,879,969,024/262,344
  6. Step 6: Final answer
    x = 1,204,067.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.