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Finding the Third Proportional to 376,170 and 576,063

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Solution

The third proportional to 376,170 and 576,063 is: 882,177.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,170 : 576,063 = 576,063 : x
  2. Step 2: Convert to fraction form
    376,170/576,063 = 576,063/x
  3. Step 3: Cross multiply
    376,170x = 576,063 × 576,063
  4. Step 4: Simplify right side
    376,170x = 331,848,579,969
  5. Step 5: Solve for x
    x = 331,848,579,969/376,170
  6. Step 6: Final answer
    x = 882,177.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.