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Finding the Third Proportional to 283,042 and 418,083

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Solution

The third proportional to 283,042 and 418,083 is: 617,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,042 : 418,083 = 418,083 : x
  2. Step 2: Convert to fraction form
    283,042/418,083 = 418,083/x
  3. Step 3: Cross multiply
    283,042x = 418,083 × 418,083
  4. Step 4: Simplify right side
    283,042x = 174,793,394,889
  5. Step 5: Solve for x
    x = 174,793,394,889/283,042
  6. Step 6: Final answer
    x = 617,552.85

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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.