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Finding the Third Proportional to 283,026 and 418,059

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Solution

The third proportional to 283,026 and 418,059 is: 617,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,026 : 418,059 = 418,059 : x
  2. Step 2: Convert to fraction form
    283,026/418,059 = 418,059/x
  3. Step 3: Cross multiply
    283,026x = 418,059 × 418,059
  4. Step 4: Simplify right side
    283,026x = 174,773,327,481
  5. Step 5: Solve for x
    x = 174,773,327,481/283,026
  6. Step 6: Final answer
    x = 617,516.86

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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.