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Finding the Third Proportional to 366,965 and 567,147

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Solution

The third proportional to 366,965 and 567,147 is: 876,529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,965 : 567,147 = 567,147 : x
  2. Step 2: Convert to fraction form
    366,965/567,147 = 567,147/x
  3. Step 3: Cross multiply
    366,965x = 567,147 × 567,147
  4. Step 4: Simplify right side
    366,965x = 321,655,719,609
  5. Step 5: Solve for x
    x = 321,655,719,609/366,965
  6. Step 6: Final answer
    x = 876,529.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.