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Finding the Third Proportional to 311,857 and 474,346

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Solution

The third proportional to 311,857 and 474,346 is: 721,497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,857 : 474,346 = 474,346 : x
  2. Step 2: Convert to fraction form
    311,857/474,346 = 474,346/x
  3. Step 3: Cross multiply
    311,857x = 474,346 × 474,346
  4. Step 4: Simplify right side
    311,857x = 225,004,127,716
  5. Step 5: Solve for x
    x = 225,004,127,716/311,857
  6. Step 6: Final answer
    x = 721,497.76

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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.