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Finding the Third Proportional to 198,975 and 429,460

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Solution

The third proportional to 198,975 and 429,460 is: 926,929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,975 : 429,460 = 429,460 : x
  2. Step 2: Convert to fraction form
    198,975/429,460 = 429,460/x
  3. Step 3: Cross multiply
    198,975x = 429,460 × 429,460
  4. Step 4: Simplify right side
    198,975x = 184,435,891,600
  5. Step 5: Solve for x
    x = 184,435,891,600/198,975
  6. Step 6: Final answer
    x = 926,929.97

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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.