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Finding the Third Proportional to 293,646 and 641,224

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Solution

The third proportional to 293,646 and 641,224 is: 1,400,217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,646 : 641,224 = 641,224 : x
  2. Step 2: Convert to fraction form
    293,646/641,224 = 641,224/x
  3. Step 3: Cross multiply
    293,646x = 641,224 × 641,224
  4. Step 4: Simplify right side
    293,646x = 411,168,218,176
  5. Step 5: Solve for x
    x = 411,168,218,176/293,646
  6. Step 6: Final answer
    x = 1,400,217.33

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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.