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Finding the Third Proportional to 297,220 and 641,096

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Solution

The third proportional to 297,220 and 641,096 is: 1,382,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,220 : 641,096 = 641,096 : x
  2. Step 2: Convert to fraction form
    297,220/641,096 = 641,096/x
  3. Step 3: Cross multiply
    297,220x = 641,096 × 641,096
  4. Step 4: Simplify right side
    297,220x = 411,004,081,216
  5. Step 5: Solve for x
    x = 411,004,081,216/297,220
  6. Step 6: Final answer
    x = 1,382,827.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.