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Finding the Third Proportional to 305,862 and 673,932

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Solution

The third proportional to 305,862 and 673,932 is: 1,484,932.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,862 : 673,932 = 673,932 : x
  2. Step 2: Convert to fraction form
    305,862/673,932 = 673,932/x
  3. Step 3: Cross multiply
    305,862x = 673,932 × 673,932
  4. Step 4: Simplify right side
    305,862x = 454,184,340,624
  5. Step 5: Solve for x
    x = 454,184,340,624/305,862
  6. Step 6: Final answer
    x = 1,484,932.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.