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Finding the Third Proportional to 325,340 and 486,097

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Solution

The third proportional to 325,340 and 486,097 is: 726,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,340 : 486,097 = 486,097 : x
  2. Step 2: Convert to fraction form
    325,340/486,097 = 486,097/x
  3. Step 3: Cross multiply
    325,340x = 486,097 × 486,097
  4. Step 4: Simplify right side
    325,340x = 236,290,293,409
  5. Step 5: Solve for x
    x = 236,290,293,409/325,340
  6. Step 6: Final answer
    x = 726,287.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.