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Finding the Third Proportional to 470,266 and 672,216

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Solution

The third proportional to 470,266 and 672,216 is: 960,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,266 : 672,216 = 672,216 : x
  2. Step 2: Convert to fraction form
    470,266/672,216 = 672,216/x
  3. Step 3: Cross multiply
    470,266x = 672,216 × 672,216
  4. Step 4: Simplify right side
    470,266x = 451,874,350,656
  5. Step 5: Solve for x
    x = 451,874,350,656/470,266
  6. Step 6: Final answer
    x = 960,890.97

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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.