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Finding the Third Proportional to 356,667 and 725,786

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Solution

The third proportional to 356,667 and 725,786 is: 1,476,910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,667 : 725,786 = 725,786 : x
  2. Step 2: Convert to fraction form
    356,667/725,786 = 725,786/x
  3. Step 3: Cross multiply
    356,667x = 725,786 × 725,786
  4. Step 4: Simplify right side
    356,667x = 526,765,317,796
  5. Step 5: Solve for x
    x = 526,765,317,796/356,667
  6. Step 6: Final answer
    x = 1,476,910.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.