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Finding the Third Proportional to 366,987 and 567,182

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Solution

The third proportional to 366,987 and 567,182 is: 876,585.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,987 : 567,182 = 567,182 : x
  2. Step 2: Convert to fraction form
    366,987/567,182 = 567,182/x
  3. Step 3: Cross multiply
    366,987x = 567,182 × 567,182
  4. Step 4: Simplify right side
    366,987x = 321,695,421,124
  5. Step 5: Solve for x
    x = 321,695,421,124/366,987
  6. Step 6: Final answer
    x = 876,585.33

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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.