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Finding the Third Proportional to 304,801 and 669,934

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Solution

The third proportional to 304,801 and 669,934 is: 1,472,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,801 : 669,934 = 669,934 : x
  2. Step 2: Convert to fraction form
    304,801/669,934 = 669,934/x
  3. Step 3: Cross multiply
    304,801x = 669,934 × 669,934
  4. Step 4: Simplify right side
    304,801x = 448,811,564,356
  5. Step 5: Solve for x
    x = 448,811,564,356/304,801
  6. Step 6: Final answer
    x = 1,472,474.05

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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.