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Finding the Third Proportional to 234,021 and 486,036

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Solution

The third proportional to 234,021 and 486,036 is: 1,009,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,021 : 486,036 = 486,036 : x
  2. Step 2: Convert to fraction form
    234,021/486,036 = 486,036/x
  3. Step 3: Cross multiply
    234,021x = 486,036 × 486,036
  4. Step 4: Simplify right side
    234,021x = 236,230,993,296
  5. Step 5: Solve for x
    x = 236,230,993,296/234,021
  6. Step 6: Final answer
    x = 1,009,443.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.