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Finding the Third Proportional to 470,260 and 672,204

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Solution

The third proportional to 470,260 and 672,204 is: 960,868.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,260 : 672,204 = 672,204 : x
  2. Step 2: Convert to fraction form
    470,260/672,204 = 672,204/x
  3. Step 3: Cross multiply
    470,260x = 672,204 × 672,204
  4. Step 4: Simplify right side
    470,260x = 451,858,217,616
  5. Step 5: Solve for x
    x = 451,858,217,616/470,260
  6. Step 6: Final answer
    x = 960,868.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.