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Finding the Third Proportional to 293,336 and 440,652

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Solution

The third proportional to 293,336 and 440,652 is: 661,951.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,336 : 440,652 = 440,652 : x
  2. Step 2: Convert to fraction form
    293,336/440,652 = 440,652/x
  3. Step 3: Cross multiply
    293,336x = 440,652 × 440,652
  4. Step 4: Simplify right side
    293,336x = 194,174,185,104
  5. Step 5: Solve for x
    x = 194,174,185,104/293,336
  6. Step 6: Final answer
    x = 661,951.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.