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Finding the Third Proportional to 297,067 and 618,614

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Solution

The third proportional to 297,067 and 618,614 is: 1,288,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,067 : 618,614 = 618,614 : x
  2. Step 2: Convert to fraction form
    297,067/618,614 = 618,614/x
  3. Step 3: Cross multiply
    297,067x = 618,614 × 618,614
  4. Step 4: Simplify right side
    297,067x = 382,683,280,996
  5. Step 5: Solve for x
    x = 382,683,280,996/297,067
  6. Step 6: Final answer
    x = 1,288,205.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.