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Finding the Third Proportional to 264,170 and 515,110

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Solution

The third proportional to 264,170 and 515,110 is: 1,004,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,170 : 515,110 = 515,110 : x
  2. Step 2: Convert to fraction form
    264,170/515,110 = 515,110/x
  3. Step 3: Cross multiply
    264,170x = 515,110 × 515,110
  4. Step 4: Simplify right side
    264,170x = 265,338,312,100
  5. Step 5: Solve for x
    x = 265,338,312,100/264,170
  6. Step 6: Final answer
    x = 1,004,422.58

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.