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Finding the Third Proportional to 295,198 and 611,401

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Solution

The third proportional to 295,198 and 611,401 is: 1,266,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,198 : 611,401 = 611,401 : x
  2. Step 2: Convert to fraction form
    295,198/611,401 = 611,401/x
  3. Step 3: Cross multiply
    295,198x = 611,401 × 611,401
  4. Step 4: Simplify right side
    295,198x = 373,811,182,801
  5. Step 5: Solve for x
    x = 373,811,182,801/295,198
  6. Step 6: Final answer
    x = 1,266,306.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.