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Finding the Third Proportional to 331,740 and 500,004

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Solution

The third proportional to 331,740 and 500,004 is: 753,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,740 : 500,004 = 500,004 : x
  2. Step 2: Convert to fraction form
    331,740/500,004 = 500,004/x
  3. Step 3: Cross multiply
    331,740x = 500,004 × 500,004
  4. Step 4: Simplify right side
    331,740x = 250,004,000,016
  5. Step 5: Solve for x
    x = 250,004,000,016/331,740
  6. Step 6: Final answer
    x = 753,614.28

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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.