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Finding the Third Proportional to 259,092 and 566,208

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Solution

The third proportional to 259,092 and 566,208 is: 1,237,365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,092 : 566,208 = 566,208 : x
  2. Step 2: Convert to fraction form
    259,092/566,208 = 566,208/x
  3. Step 3: Cross multiply
    259,092x = 566,208 × 566,208
  4. Step 4: Simplify right side
    259,092x = 320,591,499,264
  5. Step 5: Solve for x
    x = 320,591,499,264/259,092
  6. Step 6: Final answer
    x = 1,237,365.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.