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Finding the Third Proportional to 283,110 and 412,980

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Solution

The third proportional to 283,110 and 412,980 is: 602,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,110 : 412,980 = 412,980 : x
  2. Step 2: Convert to fraction form
    283,110/412,980 = 412,980/x
  3. Step 3: Cross multiply
    283,110x = 412,980 × 412,980
  4. Step 4: Simplify right side
    283,110x = 170,552,480,400
  5. Step 5: Solve for x
    x = 170,552,480,400/283,110
  6. Step 6: Final answer
    x = 602,424.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.