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Finding the Third Proportional to 198,992 and 429,488

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Solution

The third proportional to 198,992 and 429,488 is: 926,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,992 : 429,488 = 429,488 : x
  2. Step 2: Convert to fraction form
    198,992/429,488 = 429,488/x
  3. Step 3: Cross multiply
    198,992x = 429,488 × 429,488
  4. Step 4: Simplify right side
    198,992x = 184,459,942,144
  5. Step 5: Solve for x
    x = 184,459,942,144/198,992
  6. Step 6: Final answer
    x = 926,971.65

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Why These Related Problems?

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