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Finding the Third Proportional to 470,274 and 672,228

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Solution

The third proportional to 470,274 and 672,228 is: 960,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,274 : 672,228 = 672,228 : x
  2. Step 2: Convert to fraction form
    470,274/672,228 = 672,228/x
  3. Step 3: Cross multiply
    470,274x = 672,228 × 672,228
  4. Step 4: Simplify right side
    470,274x = 451,890,483,984
  5. Step 5: Solve for x
    x = 451,890,483,984/470,274
  6. Step 6: Final answer
    x = 960,908.93

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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.