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Finding the Third Proportional to 234,027 and 486,048

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Solution

The third proportional to 234,027 and 486,048 is: 1,009,467.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,027 : 486,048 = 486,048 : x
  2. Step 2: Convert to fraction form
    234,027/486,048 = 486,048/x
  3. Step 3: Cross multiply
    234,027x = 486,048 × 486,048
  4. Step 4: Simplify right side
    234,027x = 236,242,658,304
  5. Step 5: Solve for x
    x = 236,242,658,304/234,027
  6. Step 6: Final answer
    x = 1,009,467.53

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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.