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Finding the Third Proportional to 326,508 and 504,538

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Solution

The third proportional to 326,508 and 504,538 is: 779,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,508 : 504,538 = 504,538 : x
  2. Step 2: Convert to fraction form
    326,508/504,538 = 504,538/x
  3. Step 3: Cross multiply
    326,508x = 504,538 × 504,538
  4. Step 4: Simplify right side
    326,508x = 254,558,593,444
  5. Step 5: Solve for x
    x = 254,558,593,444/326,508
  6. Step 6: Final answer
    x = 779,639.68

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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.