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Finding the Third Proportional to 198,524 and 432,741

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Solution

The third proportional to 198,524 and 432,741 is: 943,285.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,524 : 432,741 = 432,741 : x
  2. Step 2: Convert to fraction form
    198,524/432,741 = 432,741/x
  3. Step 3: Cross multiply
    198,524x = 432,741 × 432,741
  4. Step 4: Simplify right side
    198,524x = 187,264,773,081
  5. Step 5: Solve for x
    x = 187,264,773,081/198,524
  6. Step 6: Final answer
    x = 943,285.31

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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.