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Finding the Third Proportional to 234,024.50 and 503,058

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Solution

The third proportional to 234,024.50 and 503,058 is: 1,081,371.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,024.50 : 503,058 = 503,058 : x
  2. Step 2: Convert to fraction form
    234,024.50/503,058 = 503,058/x
  3. Step 3: Cross multiply
    234,024.50x = 503,058 × 503,058
  4. Step 4: Simplify right side
    234,024.50x = 253,067,351,364
  5. Step 5: Solve for x
    x = 253,067,351,364/234,024.50
  6. Step 6: Final answer
    x = 1,081,371.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.