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Finding the Third Proportional to 297,764 and 461,172

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Solution

The third proportional to 297,764 and 461,172 is: 714,255.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,764 : 461,172 = 461,172 : x
  2. Step 2: Convert to fraction form
    297,764/461,172 = 461,172/x
  3. Step 3: Cross multiply
    297,764x = 461,172 × 461,172
  4. Step 4: Simplify right side
    297,764x = 212,679,613,584
  5. Step 5: Solve for x
    x = 212,679,613,584/297,764
  6. Step 6: Final answer
    x = 714,255.63

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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.