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Finding the Third Proportional to 378,380 and 566,532

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Solution

The third proportional to 378,380 and 566,532 is: 848,243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,380 : 566,532 = 566,532 : x
  2. Step 2: Convert to fraction form
    378,380/566,532 = 566,532/x
  3. Step 3: Cross multiply
    378,380x = 566,532 × 566,532
  4. Step 4: Simplify right side
    378,380x = 320,958,507,024
  5. Step 5: Solve for x
    x = 320,958,507,024/378,380
  6. Step 6: Final answer
    x = 848,243.85

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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.