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Finding the Third Proportional to 251,678 and 547,564

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Solution

The third proportional to 251,678 and 547,564 is: 1,191,309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,678 : 547,564 = 547,564 : x
  2. Step 2: Convert to fraction form
    251,678/547,564 = 547,564/x
  3. Step 3: Cross multiply
    251,678x = 547,564 × 547,564
  4. Step 4: Simplify right side
    251,678x = 299,826,334,096
  5. Step 5: Solve for x
    x = 299,826,334,096/251,678
  6. Step 6: Final answer
    x = 1,191,309.27

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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.