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Finding the Third Proportional to 447,093 and 672,472

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Solution

The third proportional to 447,093 and 672,472 is: 1,011,464.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,093 : 672,472 = 672,472 : x
  2. Step 2: Convert to fraction form
    447,093/672,472 = 672,472/x
  3. Step 3: Cross multiply
    447,093x = 672,472 × 672,472
  4. Step 4: Simplify right side
    447,093x = 452,218,590,784
  5. Step 5: Solve for x
    x = 452,218,590,784/447,093
  6. Step 6: Final answer
    x = 1,011,464.26

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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.