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Finding the Third Proportional to 325,233 and 500,531

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Solution

The third proportional to 325,233 and 500,531 is: 770,313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,233 : 500,531 = 500,531 : x
  2. Step 2: Convert to fraction form
    325,233/500,531 = 500,531/x
  3. Step 3: Cross multiply
    325,233x = 500,531 × 500,531
  4. Step 4: Simplify right side
    325,233x = 250,531,281,961
  5. Step 5: Solve for x
    x = 250,531,281,961/325,233
  6. Step 6: Final answer
    x = 770,313.23

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