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Finding the Third Proportional to 324,880 and 500,007

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Solution

The third proportional to 324,880 and 500,007 is: 769,536.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,880 : 500,007 = 500,007 : x
  2. Step 2: Convert to fraction form
    324,880/500,007 = 500,007/x
  3. Step 3: Cross multiply
    324,880x = 500,007 × 500,007
  4. Step 4: Simplify right side
    324,880x = 250,007,000,049
  5. Step 5: Solve for x
    x = 250,007,000,049/324,880
  6. Step 6: Final answer
    x = 769,536.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.