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Finding the Third Proportional to 304,800 and 669,933

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Solution

The third proportional to 304,800 and 669,933 is: 1,472,474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,800 : 669,933 = 669,933 : x
  2. Step 2: Convert to fraction form
    304,800/669,933 = 669,933/x
  3. Step 3: Cross multiply
    304,800x = 669,933 × 669,933
  4. Step 4: Simplify right side
    304,800x = 448,810,224,489
  5. Step 5: Solve for x
    x = 448,810,224,489/304,800
  6. Step 6: Final answer
    x = 1,472,474.49

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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.