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Finding the Third Proportional to 258,976 and 569,343

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Solution

The third proportional to 258,976 and 569,343 is: 1,251,665.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,976 : 569,343 = 569,343 : x
  2. Step 2: Convert to fraction form
    258,976/569,343 = 569,343/x
  3. Step 3: Cross multiply
    258,976x = 569,343 × 569,343
  4. Step 4: Simplify right side
    258,976x = 324,151,451,649
  5. Step 5: Solve for x
    x = 324,151,451,649/258,976
  6. Step 6: Final answer
    x = 1,251,665.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.