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Finding the Third Proportional to 293,976 and 644,008

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Solution

The third proportional to 293,976 and 644,008 is: 1,410,816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,976 : 644,008 = 644,008 : x
  2. Step 2: Convert to fraction form
    293,976/644,008 = 644,008/x
  3. Step 3: Cross multiply
    293,976x = 644,008 × 644,008
  4. Step 4: Simplify right side
    293,976x = 414,746,304,064
  5. Step 5: Solve for x
    x = 414,746,304,064/293,976
  6. Step 6: Final answer
    x = 1,410,816.88

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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.