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Finding the Third Proportional to 293,880 and 641,040

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Solution

The third proportional to 293,880 and 641,040 is: 1,398,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,880 : 641,040 = 641,040 : x
  2. Step 2: Convert to fraction form
    293,880/641,040 = 641,040/x
  3. Step 3: Cross multiply
    293,880x = 641,040 × 641,040
  4. Step 4: Simplify right side
    293,880x = 410,932,281,600
  5. Step 5: Solve for x
    x = 410,932,281,600/293,880
  6. Step 6: Final answer
    x = 1,398,299.58

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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.