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Finding the Third Proportional to 202,828 and 432,802

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Solution

The third proportional to 202,828 and 432,802 is: 923,529.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,828 : 432,802 = 432,802 : x
  2. Step 2: Convert to fraction form
    202,828/432,802 = 432,802/x
  3. Step 3: Cross multiply
    202,828x = 432,802 × 432,802
  4. Step 4: Simplify right side
    202,828x = 187,317,571,204
  5. Step 5: Solve for x
    x = 187,317,571,204/202,828
  6. Step 6: Final answer
    x = 923,529.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.