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Finding the Third Proportional to 462,781 and 699,103

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Solution

The third proportional to 462,781 and 699,103 is: 1,056,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,781 : 699,103 = 699,103 : x
  2. Step 2: Convert to fraction form
    462,781/699,103 = 699,103/x
  3. Step 3: Cross multiply
    462,781x = 699,103 × 699,103
  4. Step 4: Simplify right side
    462,781x = 488,745,004,609
  5. Step 5: Solve for x
    x = 488,745,004,609/462,781
  6. Step 6: Final answer
    x = 1,056,104.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.