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Finding the Third Proportional to 331,742 and 500,007

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Solution

The third proportional to 331,742 and 500,007 is: 753,618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,742 : 500,007 = 500,007 : x
  2. Step 2: Convert to fraction form
    331,742/500,007 = 500,007/x
  3. Step 3: Cross multiply
    331,742x = 500,007 × 500,007
  4. Step 4: Simplify right side
    331,742x = 250,007,000,049
  5. Step 5: Solve for x
    x = 250,007,000,049/331,742
  6. Step 6: Final answer
    x = 753,618.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.