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Finding the Third Proportional to 229,786 and 330,962

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Solution

The third proportional to 229,786 and 330,962 is: 476,686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,786 : 330,962 = 330,962 : x
  2. Step 2: Convert to fraction form
    229,786/330,962 = 330,962/x
  3. Step 3: Cross multiply
    229,786x = 330,962 × 330,962
  4. Step 4: Simplify right side
    229,786x = 109,535,845,444
  5. Step 5: Solve for x
    x = 109,535,845,444/229,786
  6. Step 6: Final answer
    x = 476,686.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.