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Finding the Third Proportional to 353,193.75 and 784,847.25

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Solution

The third proportional to 353,193.75 and 784,847.25 is: 1,744,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,193.75 : 784,847.25 = 784,847.25 : x
  2. Step 2: Convert to fraction form
    353,193.75/784,847.25 = 784,847.25/x
  3. Step 3: Cross multiply
    353,193.75x = 784,847.25 × 784,847.25
  4. Step 4: Simplify right side
    353,193.75x = 615,985,205,832.56
  5. Step 5: Solve for x
    x = 615,985,205,832.56/353,193.75
  6. Step 6: Final answer
    x = 1,744,043.34

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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.