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Finding the Third Proportional to 331,519 and 500,033

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Solution

The third proportional to 331,519 and 500,033 is: 754,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,519 : 500,033 = 500,033 : x
  2. Step 2: Convert to fraction form
    331,519/500,033 = 500,033/x
  3. Step 3: Cross multiply
    331,519x = 500,033 × 500,033
  4. Step 4: Simplify right side
    331,519x = 250,033,001,089
  5. Step 5: Solve for x
    x = 250,033,001,089/331,519
  6. Step 6: Final answer
    x = 754,204.14

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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.