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Finding the Third Proportional to 198,438 and 436,386

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Solution

The third proportional to 198,438 and 436,386 is: 959,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,438 : 436,386 = 436,386 : x
  2. Step 2: Convert to fraction form
    198,438/436,386 = 436,386/x
  3. Step 3: Cross multiply
    198,438x = 436,386 × 436,386
  4. Step 4: Simplify right side
    198,438x = 190,432,740,996
  5. Step 5: Solve for x
    x = 190,432,740,996/198,438
  6. Step 6: Final answer
    x = 959,658.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.