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Finding the Third Proportional to 350,358.75 and 764,034.19

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Solution

The third proportional to 350,358.75 and 764,034.19 is: 1,666,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,358.75 : 764,034.19 = 764,034.19 : x
  2. Step 2: Convert to fraction form
    350,358.75/764,034.19 = 764,034.19/x
  3. Step 3: Cross multiply
    350,358.75x = 764,034.19 × 764,034.19
  4. Step 4: Simplify right side
    350,358.75x = 583,748,239,668.79
  5. Step 5: Solve for x
    x = 583,748,239,668.79/350,358.75
  6. Step 6: Final answer
    x = 1,666,144.32

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