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Finding the Third Proportional to 366,989 and 567,185

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Solution

The third proportional to 366,989 and 567,185 is: 876,589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,989 : 567,185 = 567,185 : x
  2. Step 2: Convert to fraction form
    366,989/567,185 = 567,185/x
  3. Step 3: Cross multiply
    366,989x = 567,185 × 567,185
  4. Step 4: Simplify right side
    366,989x = 321,698,824,225
  5. Step 5: Solve for x
    x = 321,698,824,225/366,989
  6. Step 6: Final answer
    x = 876,589.83

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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.