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Finding the Third Proportional to 226,674 and 469,728

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Solution

The third proportional to 226,674 and 469,728 is: 973,399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,674 : 469,728 = 469,728 : x
  2. Step 2: Convert to fraction form
    226,674/469,728 = 469,728/x
  3. Step 3: Cross multiply
    226,674x = 469,728 × 469,728
  4. Step 4: Simplify right side
    226,674x = 220,644,393,984
  5. Step 5: Solve for x
    x = 220,644,393,984/226,674
  6. Step 6: Final answer
    x = 973,399.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.