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Finding the Third Proportional to 293,661 and 641,259

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Solution

The third proportional to 293,661 and 641,259 is: 1,400,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,661 : 641,259 = 641,259 : x
  2. Step 2: Convert to fraction form
    293,661/641,259 = 641,259/x
  3. Step 3: Cross multiply
    293,661x = 641,259 × 641,259
  4. Step 4: Simplify right side
    293,661x = 411,213,105,081
  5. Step 5: Solve for x
    x = 411,213,105,081/293,661
  6. Step 6: Final answer
    x = 1,400,298.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.