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Finding the Third Proportional to 331,544 and 500,084

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Solution

The third proportional to 331,544 and 500,084 is: 754,301.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,544 : 500,084 = 500,084 : x
  2. Step 2: Convert to fraction form
    331,544/500,084 = 500,084/x
  3. Step 3: Cross multiply
    331,544x = 500,084 × 500,084
  4. Step 4: Simplify right side
    331,544x = 250,084,007,056
  5. Step 5: Solve for x
    x = 250,084,007,056/331,544
  6. Step 6: Final answer
    x = 754,301.11

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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.