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Finding the Third Proportional to 331,515 and 500,029

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Solution

The third proportional to 331,515 and 500,029 is: 754,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,515 : 500,029 = 500,029 : x
  2. Step 2: Convert to fraction form
    331,515/500,029 = 500,029/x
  3. Step 3: Cross multiply
    331,515x = 500,029 × 500,029
  4. Step 4: Simplify right side
    331,515x = 250,029,000,841
  5. Step 5: Solve for x
    x = 250,029,000,841/331,515
  6. Step 6: Final answer
    x = 754,201.17

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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.