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Finding the Third Proportional to 325,342 and 519,479

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Solution

The third proportional to 325,342 and 519,479 is: 829,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,342 : 519,479 = 519,479 : x
  2. Step 2: Convert to fraction form
    325,342/519,479 = 519,479/x
  3. Step 3: Cross multiply
    325,342x = 519,479 × 519,479
  4. Step 4: Simplify right side
    325,342x = 269,858,431,441
  5. Step 5: Solve for x
    x = 269,858,431,441/325,342
  6. Step 6: Final answer
    x = 829,460.79

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.