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Finding the Third Proportional to 276,424 and 423,372

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Solution

The third proportional to 276,424 and 423,372 is: 648,438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,424 : 423,372 = 423,372 : x
  2. Step 2: Convert to fraction form
    276,424/423,372 = 423,372/x
  3. Step 3: Cross multiply
    276,424x = 423,372 × 423,372
  4. Step 4: Simplify right side
    276,424x = 179,243,850,384
  5. Step 5: Solve for x
    x = 179,243,850,384/276,424
  6. Step 6: Final answer
    x = 648,438.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.