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Finding the Third Proportional to 269,247 and 547,323

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Solution

The third proportional to 269,247 and 547,323 is: 1,112,593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,247 : 547,323 = 547,323 : x
  2. Step 2: Convert to fraction form
    269,247/547,323 = 547,323/x
  3. Step 3: Cross multiply
    269,247x = 547,323 × 547,323
  4. Step 4: Simplify right side
    269,247x = 299,562,466,329
  5. Step 5: Solve for x
    x = 299,562,466,329/269,247
  6. Step 6: Final answer
    x = 1,112,593.52

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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.