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Finding the Third Proportional to 283,014 and 418,041

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Solution

The third proportional to 283,014 and 418,041 is: 617,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,014 : 418,041 = 418,041 : x
  2. Step 2: Convert to fraction form
    283,014/418,041 = 418,041/x
  3. Step 3: Cross multiply
    283,014x = 418,041 × 418,041
  4. Step 4: Simplify right side
    283,014x = 174,758,277,681
  5. Step 5: Solve for x
    x = 174,758,277,681/283,014
  6. Step 6: Final answer
    x = 617,489.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.