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Finding the Third Proportional to 366,959 and 567,042

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Solution

The third proportional to 366,959 and 567,042 is: 876,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,959 : 567,042 = 567,042 : x
  2. Step 2: Convert to fraction form
    366,959/567,042 = 567,042/x
  3. Step 3: Cross multiply
    366,959x = 567,042 × 567,042
  4. Step 4: Simplify right side
    366,959x = 321,536,629,764
  5. Step 5: Solve for x
    x = 321,536,629,764/366,959
  6. Step 6: Final answer
    x = 876,219.50

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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.