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Finding the Third Proportional to 296,914 and 700,198

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Solution

The third proportional to 296,914 and 700,198 is: 1,651,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,914 : 700,198 = 700,198 : x
  2. Step 2: Convert to fraction form
    296,914/700,198 = 700,198/x
  3. Step 3: Cross multiply
    296,914x = 700,198 × 700,198
  4. Step 4: Simplify right side
    296,914x = 490,277,239,204
  5. Step 5: Solve for x
    x = 490,277,239,204/296,914
  6. Step 6: Final answer
    x = 1,651,243.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.