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Finding the Third Proportional to 307,836 and 462,645

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Solution

The third proportional to 307,836 and 462,645 is: 695,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,836 : 462,645 = 462,645 : x
  2. Step 2: Convert to fraction form
    307,836/462,645 = 462,645/x
  3. Step 3: Cross multiply
    307,836x = 462,645 × 462,645
  4. Step 4: Simplify right side
    307,836x = 214,040,396,025
  5. Step 5: Solve for x
    x = 214,040,396,025/307,836
  6. Step 6: Final answer
    x = 695,306.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.