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Finding the Third Proportional to 323,314 and 655,846

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Solution

The third proportional to 323,314 and 655,846 is: 1,330,390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,314 : 655,846 = 655,846 : x
  2. Step 2: Convert to fraction form
    323,314/655,846 = 655,846/x
  3. Step 3: Cross multiply
    323,314x = 655,846 × 655,846
  4. Step 4: Simplify right side
    323,314x = 430,133,975,716
  5. Step 5: Solve for x
    x = 430,133,975,716/323,314
  6. Step 6: Final answer
    x = 1,330,390.81

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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.