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Finding the Third Proportional to 422,914 and 576,035

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Solution

The third proportional to 422,914 and 576,035 is: 784,595.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,914 : 576,035 = 576,035 : x
  2. Step 2: Convert to fraction form
    422,914/576,035 = 576,035/x
  3. Step 3: Cross multiply
    422,914x = 576,035 × 576,035
  4. Step 4: Simplify right side
    422,914x = 331,816,321,225
  5. Step 5: Solve for x
    x = 331,816,321,225/422,914
  6. Step 6: Final answer
    x = 784,595.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.