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Finding the Third Proportional to 366,982 and 567,172

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Solution

The third proportional to 366,982 and 567,172 is: 876,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,982 : 567,172 = 567,172 : x
  2. Step 2: Convert to fraction form
    366,982/567,172 = 567,172/x
  3. Step 3: Cross multiply
    366,982x = 567,172 × 567,172
  4. Step 4: Simplify right side
    366,982x = 321,684,077,584
  5. Step 5: Solve for x
    x = 321,684,077,584/366,982
  6. Step 6: Final answer
    x = 876,566.36

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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.