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Finding the Third Proportional to 378,378 and 566,524

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Solution

The third proportional to 378,378 and 566,524 is: 848,224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,378 : 566,524 = 566,524 : x
  2. Step 2: Convert to fraction form
    378,378/566,524 = 566,524/x
  3. Step 3: Cross multiply
    378,378x = 566,524 × 566,524
  4. Step 4: Simplify right side
    378,378x = 320,949,442,576
  5. Step 5: Solve for x
    x = 320,949,442,576/378,378
  6. Step 6: Final answer
    x = 848,224.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.