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Finding the Third Proportional to 376,848 and 566,080

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Solution

The third proportional to 376,848 and 566,080 is: 850,333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,848 : 566,080 = 566,080 : x
  2. Step 2: Convert to fraction form
    376,848/566,080 = 566,080/x
  3. Step 3: Cross multiply
    376,848x = 566,080 × 566,080
  4. Step 4: Simplify right side
    376,848x = 320,446,566,400
  5. Step 5: Solve for x
    x = 320,446,566,400/376,848
  6. Step 6: Final answer
    x = 850,333.73

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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.