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Finding the Third Proportional to 325,442 and 503,866

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Solution

The third proportional to 325,442 and 503,866 is: 780,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,442 : 503,866 = 503,866 : x
  2. Step 2: Convert to fraction form
    325,442/503,866 = 503,866/x
  3. Step 3: Cross multiply
    325,442x = 503,866 × 503,866
  4. Step 4: Simplify right side
    325,442x = 253,880,945,956
  5. Step 5: Solve for x
    x = 253,880,945,956/325,442
  6. Step 6: Final answer
    x = 780,111.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.