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Finding the Third Proportional to 253,508 and 547,208

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Solution

The third proportional to 253,508 and 547,208 is: 1,181,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,508 : 547,208 = 547,208 : x
  2. Step 2: Convert to fraction form
    253,508/547,208 = 547,208/x
  3. Step 3: Cross multiply
    253,508x = 547,208 × 547,208
  4. Step 4: Simplify right side
    253,508x = 299,436,595,264
  5. Step 5: Solve for x
    x = 299,436,595,264/253,508
  6. Step 6: Final answer
    x = 1,181,172.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.