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Finding the Third Proportional to 251,232 and 547,634

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Solution

The third proportional to 251,232 and 547,634 is: 1,193,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,232 : 547,634 = 547,634 : x
  2. Step 2: Convert to fraction form
    251,232/547,634 = 547,634/x
  3. Step 3: Cross multiply
    251,232x = 547,634 × 547,634
  4. Step 4: Simplify right side
    251,232x = 299,902,997,956
  5. Step 5: Solve for x
    x = 299,902,997,956/251,232
  6. Step 6: Final answer
    x = 1,193,729.29

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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.