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Finding the Third Proportional to 354,981 and 764,094

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Solution

The third proportional to 354,981 and 764,094 is: 1,644,706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,981 : 764,094 = 764,094 : x
  2. Step 2: Convert to fraction form
    354,981/764,094 = 764,094/x
  3. Step 3: Cross multiply
    354,981x = 764,094 × 764,094
  4. Step 4: Simplify right side
    354,981x = 583,839,640,836
  5. Step 5: Solve for x
    x = 583,839,640,836/354,981
  6. Step 6: Final answer
    x = 1,644,706.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.