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Finding the Third Proportional to 265,578 and 622,149

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Solution

The third proportional to 265,578 and 622,149 is: 1,457,460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,578 : 622,149 = 622,149 : x
  2. Step 2: Convert to fraction form
    265,578/622,149 = 622,149/x
  3. Step 3: Cross multiply
    265,578x = 622,149 × 622,149
  4. Step 4: Simplify right side
    265,578x = 387,069,378,201
  5. Step 5: Solve for x
    x = 387,069,378,201/265,578
  6. Step 6: Final answer
    x = 1,457,460.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.