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Finding the Third Proportional to 209,828 and 332,762

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Solution

The third proportional to 209,828 and 332,762 is: 527,720.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,828 : 332,762 = 332,762 : x
  2. Step 2: Convert to fraction form
    209,828/332,762 = 332,762/x
  3. Step 3: Cross multiply
    209,828x = 332,762 × 332,762
  4. Step 4: Simplify right side
    209,828x = 110,730,548,644
  5. Step 5: Solve for x
    x = 110,730,548,644/209,828
  6. Step 6: Final answer
    x = 527,720.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.