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Finding the Third Proportional to 316,584.75 and 693,204.75

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Solution

The third proportional to 316,584.75 and 693,204.75 is: 1,517,864.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,584.75 : 693,204.75 = 693,204.75 : x
  2. Step 2: Convert to fraction form
    316,584.75/693,204.75 = 693,204.75/x
  3. Step 3: Cross multiply
    316,584.75x = 693,204.75 × 693,204.75
  4. Step 4: Simplify right side
    316,584.75x = 480,532,825,422.56
  5. Step 5: Solve for x
    x = 480,532,825,422.56/316,584.75
  6. Step 6: Final answer
    x = 1,517,864.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.