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Finding the Third Proportional to 353,184.75 and 784,829.25

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Solution

The third proportional to 353,184.75 and 784,829.25 is: 1,744,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,184.75 : 784,829.25 = 784,829.25 : x
  2. Step 2: Convert to fraction form
    353,184.75/784,829.25 = 784,829.25/x
  3. Step 3: Cross multiply
    353,184.75x = 784,829.25 × 784,829.25
  4. Step 4: Simplify right side
    353,184.75x = 615,956,951,655.56
  5. Step 5: Solve for x
    x = 615,956,951,655.56/353,184.75
  6. Step 6: Final answer
    x = 1,744,007.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.