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Finding the Third Proportional to 350,074.13 and 763,499.25

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Solution

The third proportional to 350,074.13 and 763,499.25 is: 1,665,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,074.13 : 763,499.25 = 763,499.25 : x
  2. Step 2: Convert to fraction form
    350,074.13/763,499.25 = 763,499.25/x
  3. Step 3: Cross multiply
    350,074.13x = 763,499.25 × 763,499.25
  4. Step 4: Simplify right side
    350,074.13x = 582,931,104,750.56
  5. Step 5: Solve for x
    x = 582,931,104,750.56/350,074.13
  6. Step 6: Final answer
    x = 1,665,164.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.