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Finding the Third Proportional to 378,380 and 566,527

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Solution

The third proportional to 378,380 and 566,527 is: 848,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,380 : 566,527 = 566,527 : x
  2. Step 2: Convert to fraction form
    378,380/566,527 = 566,527/x
  3. Step 3: Cross multiply
    378,380x = 566,527 × 566,527
  4. Step 4: Simplify right side
    378,380x = 320,952,841,729
  5. Step 5: Solve for x
    x = 320,952,841,729/378,380
  6. Step 6: Final answer
    x = 848,228.88

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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.