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Finding the Third Proportional to 353,530.50 and 763,538.25

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Solution

The third proportional to 353,530.50 and 763,538.25 is: 1,649,053.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,530.50 : 763,538.25 = 763,538.25 : x
  2. Step 2: Convert to fraction form
    353,530.50/763,538.25 = 763,538.25/x
  3. Step 3: Cross multiply
    353,530.50x = 763,538.25 × 763,538.25
  4. Step 4: Simplify right side
    353,530.50x = 582,990,659,213.06
  5. Step 5: Solve for x
    x = 582,990,659,213.06/353,530.50
  6. Step 6: Final answer
    x = 1,649,053.36

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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.