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Finding the Third Proportional to 356,544 and 766,848

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Solution

The third proportional to 356,544 and 766,848 is: 1,649,321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,544 : 766,848 = 766,848 : x
  2. Step 2: Convert to fraction form
    356,544/766,848 = 766,848/x
  3. Step 3: Cross multiply
    356,544x = 766,848 × 766,848
  4. Step 4: Simplify right side
    356,544x = 588,055,855,104
  5. Step 5: Solve for x
    x = 588,055,855,104/356,544
  6. Step 6: Final answer
    x = 1,649,321.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.