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Finding the Third Proportional to 232,707 and 335,523

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Solution

The third proportional to 232,707 and 335,523 is: 483,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,707 : 335,523 = 335,523 : x
  2. Step 2: Convert to fraction form
    232,707/335,523 = 335,523/x
  3. Step 3: Cross multiply
    232,707x = 335,523 × 335,523
  4. Step 4: Simplify right side
    232,707x = 112,575,683,529
  5. Step 5: Solve for x
    x = 112,575,683,529/232,707
  6. Step 6: Final answer
    x = 483,765.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.