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Finding the Third Proportional to 265,062 and 569,676

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Solution

The third proportional to 265,062 and 569,676 is: 1,224,357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,062 : 569,676 = 569,676 : x
  2. Step 2: Convert to fraction form
    265,062/569,676 = 569,676/x
  3. Step 3: Cross multiply
    265,062x = 569,676 × 569,676
  4. Step 4: Simplify right side
    265,062x = 324,530,744,976
  5. Step 5: Solve for x
    x = 324,530,744,976/265,062
  6. Step 6: Final answer
    x = 1,224,357.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.