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Finding the Third Proportional to 470,272 and 672,225

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Solution

The third proportional to 470,272 and 672,225 is: 960,904.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,272 : 672,225 = 672,225 : x
  2. Step 2: Convert to fraction form
    470,272/672,225 = 672,225/x
  3. Step 3: Cross multiply
    470,272x = 672,225 × 672,225
  4. Step 4: Simplify right side
    470,272x = 451,886,450,625
  5. Step 5: Solve for x
    x = 451,886,450,625/470,272
  6. Step 6: Final answer
    x = 960,904.44

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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.