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Finding the Third Proportional to 198,552 and 428,206

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Solution

The third proportional to 198,552 and 428,206 is: 923,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,552 : 428,206 = 428,206 : x
  2. Step 2: Convert to fraction form
    198,552/428,206 = 428,206/x
  3. Step 3: Cross multiply
    198,552x = 428,206 × 428,206
  4. Step 4: Simplify right side
    198,552x = 183,360,378,436
  5. Step 5: Solve for x
    x = 183,360,378,436/198,552
  6. Step 6: Final answer
    x = 923,487.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.