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Finding the Third Proportional to 300,853 and 660,747

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Solution

The third proportional to 300,853 and 660,747 is: 1,451,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,853 : 660,747 = 660,747 : x
  2. Step 2: Convert to fraction form
    300,853/660,747 = 660,747/x
  3. Step 3: Cross multiply
    300,853x = 660,747 × 660,747
  4. Step 4: Simplify right side
    300,853x = 436,586,598,009
  5. Step 5: Solve for x
    x = 436,586,598,009/300,853
  6. Step 6: Final answer
    x = 1,451,162.52

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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.