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Finding the Third Proportional to 366,980 and 567,170

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Solution

The third proportional to 366,980 and 567,170 is: 876,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,980 : 567,170 = 567,170 : x
  2. Step 2: Convert to fraction form
    366,980/567,170 = 567,170/x
  3. Step 3: Cross multiply
    366,980x = 567,170 × 567,170
  4. Step 4: Simplify right side
    366,980x = 321,681,808,900
  5. Step 5: Solve for x
    x = 321,681,808,900/366,980
  6. Step 6: Final answer
    x = 876,564.96

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Why These Related Problems?

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