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Finding the Third Proportional to 350,016 and 764,184

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Solution

The third proportional to 350,016 and 764,184 is: 1,668,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,016 : 764,184 = 764,184 : x
  2. Step 2: Convert to fraction form
    350,016/764,184 = 764,184/x
  3. Step 3: Cross multiply
    350,016x = 764,184 × 764,184
  4. Step 4: Simplify right side
    350,016x = 583,977,185,856
  5. Step 5: Solve for x
    x = 583,977,185,856/350,016
  6. Step 6: Final answer
    x = 1,668,429.97

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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.