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Finding the Third Proportional to 322,885 and 503,951

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Solution

The third proportional to 322,885 and 503,951 is: 786,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,885 : 503,951 = 503,951 : x
  2. Step 2: Convert to fraction form
    322,885/503,951 = 503,951/x
  3. Step 3: Cross multiply
    322,885x = 503,951 × 503,951
  4. Step 4: Simplify right side
    322,885x = 253,966,610,401
  5. Step 5: Solve for x
    x = 253,966,610,401/322,885
  6. Step 6: Final answer
    x = 786,554.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.