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Finding the Third Proportional to 292,734 and 451,917

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Solution

The third proportional to 292,734 and 451,917 is: 697,660.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,734 : 451,917 = 451,917 : x
  2. Step 2: Convert to fraction form
    292,734/451,917 = 451,917/x
  3. Step 3: Cross multiply
    292,734x = 451,917 × 451,917
  4. Step 4: Simplify right side
    292,734x = 204,228,974,889
  5. Step 5: Solve for x
    x = 204,228,974,889/292,734
  6. Step 6: Final answer
    x = 697,660.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.