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Finding the Third Proportional to 325,167 and 500,433

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Solution

The third proportional to 325,167 and 500,433 is: 770,167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,167 : 500,433 = 500,433 : x
  2. Step 2: Convert to fraction form
    325,167/500,433 = 500,433/x
  3. Step 3: Cross multiply
    325,167x = 500,433 × 500,433
  4. Step 4: Simplify right side
    325,167x = 250,433,187,489
  5. Step 5: Solve for x
    x = 250,433,187,489/325,167
  6. Step 6: Final answer
    x = 770,167.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.