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Finding the Third Proportional to 531,790.31 and 798,057.56

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Solution

The third proportional to 531,790.31 and 798,057.56 is: 1,197,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,790.31 : 798,057.56 = 798,057.56 : x
  2. Step 2: Convert to fraction form
    531,790.31/798,057.56 = 798,057.56/x
  3. Step 3: Cross multiply
    531,790.31x = 798,057.56 × 798,057.56
  4. Step 4: Simplify right side
    531,790.31x = 636,895,873,063.44
  5. Step 5: Solve for x
    x = 636,895,873,063.44/531,790.31
  6. Step 6: Final answer
    x = 1,197,644.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.