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Finding the Third Proportional to 242,406 and 566,162

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Solution

The third proportional to 242,406 and 566,162 is: 1,322,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,406 : 566,162 = 566,162 : x
  2. Step 2: Convert to fraction form
    242,406/566,162 = 566,162/x
  3. Step 3: Cross multiply
    242,406x = 566,162 × 566,162
  4. Step 4: Simplify right side
    242,406x = 320,539,410,244
  5. Step 5: Solve for x
    x = 320,539,410,244/242,406
  6. Step 6: Final answer
    x = 1,322,324.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.