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Finding the Third Proportional to 376,166 and 576,057

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Solution

The third proportional to 376,166 and 576,057 is: 882,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,166 : 576,057 = 576,057 : x
  2. Step 2: Convert to fraction form
    376,166/576,057 = 576,057/x
  3. Step 3: Cross multiply
    376,166x = 576,057 × 576,057
  4. Step 4: Simplify right side
    376,166x = 331,841,667,249
  5. Step 5: Solve for x
    x = 331,841,667,249/376,166
  6. Step 6: Final answer
    x = 882,168.16

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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.