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Finding the Third Proportional to 375,533 and 566,493

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Solution

The third proportional to 375,533 and 566,493 is: 854,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,533 : 566,493 = 566,493 : x
  2. Step 2: Convert to fraction form
    375,533/566,493 = 566,493/x
  3. Step 3: Cross multiply
    375,533x = 566,493 × 566,493
  4. Step 4: Simplify right side
    375,533x = 320,914,319,049
  5. Step 5: Solve for x
    x = 320,914,319,049/375,533
  6. Step 6: Final answer
    x = 854,556.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.