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Finding the Third Proportional to 378,242 and 819,524

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Solution

The third proportional to 378,242 and 819,524 is: 1,775,634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,242 : 819,524 = 819,524 : x
  2. Step 2: Convert to fraction form
    378,242/819,524 = 819,524/x
  3. Step 3: Cross multiply
    378,242x = 819,524 × 819,524
  4. Step 4: Simplify right side
    378,242x = 671,619,586,576
  5. Step 5: Solve for x
    x = 671,619,586,576/378,242
  6. Step 6: Final answer
    x = 1,775,634.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.