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Finding the Third Proportional to 333,659.25 and 517,076.16

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Solution

The third proportional to 333,659.25 and 517,076.16 is: 801,319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,659.25 : 517,076.16 = 517,076.16 : x
  2. Step 2: Convert to fraction form
    333,659.25/517,076.16 = 517,076.16/x
  3. Step 3: Cross multiply
    333,659.25x = 517,076.16 × 517,076.16
  4. Step 4: Simplify right side
    333,659.25x = 267,367,751,362.27
  5. Step 5: Solve for x
    x = 267,367,751,362.27/333,659.25
  6. Step 6: Final answer
    x = 801,319.76

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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.