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Finding the Third Proportional to 325,744.50 and 498,304

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Solution

The third proportional to 325,744.50 and 498,304 is: 762,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,744.50 : 498,304 = 498,304 : x
  2. Step 2: Convert to fraction form
    325,744.50/498,304 = 498,304/x
  3. Step 3: Cross multiply
    325,744.50x = 498,304 × 498,304
  4. Step 4: Simplify right side
    325,744.50x = 248,306,876,416
  5. Step 5: Solve for x
    x = 248,306,876,416/325,744.50
  6. Step 6: Final answer
    x = 762,274.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.