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Finding the Third Proportional to 293,753 and 644,247

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Solution

The third proportional to 293,753 and 644,247 is: 1,412,936.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,753 : 644,247 = 644,247 : x
  2. Step 2: Convert to fraction form
    293,753/644,247 = 644,247/x
  3. Step 3: Cross multiply
    293,753x = 644,247 × 644,247
  4. Step 4: Simplify right side
    293,753x = 415,054,197,009
  5. Step 5: Solve for x
    x = 415,054,197,009/293,753
  6. Step 6: Final answer
    x = 1,412,936.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.