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Finding the Third Proportional to 382,848 and 570,531

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Solution

The third proportional to 382,848 and 570,531 is: 850,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,848 : 570,531 = 570,531 : x
  2. Step 2: Convert to fraction form
    382,848/570,531 = 570,531/x
  3. Step 3: Cross multiply
    382,848x = 570,531 × 570,531
  4. Step 4: Simplify right side
    382,848x = 325,505,621,961
  5. Step 5: Solve for x
    x = 325,505,621,961/382,848
  6. Step 6: Final answer
    x = 850,221.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.