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Finding the Third Proportional to 333,382.50 and 516,996

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Solution

The third proportional to 333,382.50 and 516,996 is: 801,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,382.50 : 516,996 = 516,996 : x
  2. Step 2: Convert to fraction form
    333,382.50/516,996 = 516,996/x
  3. Step 3: Cross multiply
    333,382.50x = 516,996 × 516,996
  4. Step 4: Simplify right side
    333,382.50x = 267,284,864,016
  5. Step 5: Solve for x
    x = 267,284,864,016/333,382.50
  6. Step 6: Final answer
    x = 801,736.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.