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Finding the Third Proportional to 297,601 and 642,247

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Solution

The third proportional to 297,601 and 642,247 is: 1,386,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,601 : 642,247 = 642,247 : x
  2. Step 2: Convert to fraction form
    297,601/642,247 = 642,247/x
  3. Step 3: Cross multiply
    297,601x = 642,247 × 642,247
  4. Step 4: Simplify right side
    297,601x = 412,481,209,009
  5. Step 5: Solve for x
    x = 412,481,209,009/297,601
  6. Step 6: Final answer
    x = 1,386,020.91

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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.