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Finding the Third Proportional to 259,828 and 566,676

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Solution

The third proportional to 259,828 and 566,676 is: 1,235,901.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,828 : 566,676 = 566,676 : x
  2. Step 2: Convert to fraction form
    259,828/566,676 = 566,676/x
  3. Step 3: Cross multiply
    259,828x = 566,676 × 566,676
  4. Step 4: Simplify right side
    259,828x = 321,121,688,976
  5. Step 5: Solve for x
    x = 321,121,688,976/259,828
  6. Step 6: Final answer
    x = 1,235,901.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.