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Finding the Third Proportional to 297,759 and 461,175

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Solution

The third proportional to 297,759 and 461,175 is: 714,276.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,759 : 461,175 = 461,175 : x
  2. Step 2: Convert to fraction form
    297,759/461,175 = 461,175/x
  3. Step 3: Cross multiply
    297,759x = 461,175 × 461,175
  4. Step 4: Simplify right side
    297,759x = 212,682,380,625
  5. Step 5: Solve for x
    x = 212,682,380,625/297,759
  6. Step 6: Final answer
    x = 714,276.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.