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Finding the Third Proportional to 325,215 and 500,494.50

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Solution

The third proportional to 325,215 and 500,494.50 is: 770,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,215 : 500,494.50 = 500,494.50 : x
  2. Step 2: Convert to fraction form
    325,215/500,494.50 = 500,494.50/x
  3. Step 3: Cross multiply
    325,215x = 500,494.50 × 500,494.50
  4. Step 4: Simplify right side
    325,215x = 250,494,744,530.25
  5. Step 5: Solve for x
    x = 250,494,744,530.25/325,215
  6. Step 6: Final answer
    x = 770,243.51

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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.