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Finding the Third Proportional to 276,976 and 452,233

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Solution

The third proportional to 276,976 and 452,233 is: 738,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,976 : 452,233 = 452,233 : x
  2. Step 2: Convert to fraction form
    276,976/452,233 = 452,233/x
  3. Step 3: Cross multiply
    276,976x = 452,233 × 452,233
  4. Step 4: Simplify right side
    276,976x = 204,514,686,289
  5. Step 5: Solve for x
    x = 204,514,686,289/276,976
  6. Step 6: Final answer
    x = 738,384.14

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.