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Finding the Third Proportional to 297,778 and 649,098

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Solution

The third proportional to 297,778 and 649,098 is: 1,414,907.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,778 : 649,098 = 649,098 : x
  2. Step 2: Convert to fraction form
    297,778/649,098 = 649,098/x
  3. Step 3: Cross multiply
    297,778x = 649,098 × 649,098
  4. Step 4: Simplify right side
    297,778x = 421,328,213,604
  5. Step 5: Solve for x
    x = 421,328,213,604/297,778
  6. Step 6: Final answer
    x = 1,414,907.12

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Why These Related Problems?

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