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Finding the Third Proportional to 198,474 and 432,634.50

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Solution

The third proportional to 198,474 and 432,634.50 is: 943,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,474 : 432,634.50 = 432,634.50 : x
  2. Step 2: Convert to fraction form
    198,474/432,634.50 = 432,634.50/x
  3. Step 3: Cross multiply
    198,474x = 432,634.50 × 432,634.50
  4. Step 4: Simplify right side
    198,474x = 187,172,610,590.25
  5. Step 5: Solve for x
    x = 187,172,610,590.25/198,474
  6. Step 6: Final answer
    x = 943,058.59

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