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Finding the Third Proportional to 352,056.75 and 760,231.31

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Solution

The third proportional to 352,056.75 and 760,231.31 is: 1,641,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,056.75 : 760,231.31 = 760,231.31 : x
  2. Step 2: Convert to fraction form
    352,056.75/760,231.31 = 760,231.31/x
  3. Step 3: Cross multiply
    352,056.75x = 760,231.31 × 760,231.31
  4. Step 4: Simplify right side
    352,056.75x = 577,951,648,505.47
  5. Step 5: Solve for x
    x = 577,951,648,505.47/352,056.75
  6. Step 6: Final answer
    x = 1,641,643.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.