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Finding the Third Proportional to 276,108 and 418,321

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Solution

The third proportional to 276,108 and 418,321 is: 633,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,108 : 418,321 = 418,321 : x
  2. Step 2: Convert to fraction form
    276,108/418,321 = 418,321/x
  3. Step 3: Cross multiply
    276,108x = 418,321 × 418,321
  4. Step 4: Simplify right side
    276,108x = 174,992,459,041
  5. Step 5: Solve for x
    x = 174,992,459,041/276,108
  6. Step 6: Final answer
    x = 633,782.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.