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Finding the Third Proportional to 198,924 and 432,828

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Solution

The third proportional to 198,924 and 432,828 is: 941,767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,924 : 432,828 = 432,828 : x
  2. Step 2: Convert to fraction form
    198,924/432,828 = 432,828/x
  3. Step 3: Cross multiply
    198,924x = 432,828 × 432,828
  4. Step 4: Simplify right side
    198,924x = 187,340,077,584
  5. Step 5: Solve for x
    x = 187,340,077,584/198,924
  6. Step 6: Final answer
    x = 941,767.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.