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Finding the Third Proportional to 297,222 and 641,100

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Solution

The third proportional to 297,222 and 641,100 is: 1,382,835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,222 : 641,100 = 641,100 : x
  2. Step 2: Convert to fraction form
    297,222/641,100 = 641,100/x
  3. Step 3: Cross multiply
    297,222x = 641,100 × 641,100
  4. Step 4: Simplify right side
    297,222x = 411,009,210,000
  5. Step 5: Solve for x
    x = 411,009,210,000/297,222
  6. Step 6: Final answer
    x = 1,382,835.76

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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.