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Finding the Third Proportional to 262,305 and 332,706.75

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Solution

The third proportional to 262,305 and 332,706.75 is: 422,004.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,305 : 332,706.75 = 332,706.75 : x
  2. Step 2: Convert to fraction form
    262,305/332,706.75 = 332,706.75/x
  3. Step 3: Cross multiply
    262,305x = 332,706.75 × 332,706.75
  4. Step 4: Simplify right side
    262,305x = 110,693,781,495.56
  5. Step 5: Solve for x
    x = 110,693,781,495.56/262,305
  6. Step 6: Final answer
    x = 422,004.08

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.