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Finding the Third Proportional to 269,702 and 547,060

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Solution

The third proportional to 269,702 and 547,060 is: 1,109,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,702 : 547,060 = 547,060 : x
  2. Step 2: Convert to fraction form
    269,702/547,060 = 547,060/x
  3. Step 3: Cross multiply
    269,702x = 547,060 × 547,060
  4. Step 4: Simplify right side
    269,702x = 299,274,643,600
  5. Step 5: Solve for x
    x = 299,274,643,600/269,702
  6. Step 6: Final answer
    x = 1,109,649.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.