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Finding the Third Proportional to 307,227 and 470,196

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Solution

The third proportional to 307,227 and 470,196 is: 719,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,227 : 470,196 = 470,196 : x
  2. Step 2: Convert to fraction form
    307,227/470,196 = 470,196/x
  3. Step 3: Cross multiply
    307,227x = 470,196 × 470,196
  4. Step 4: Simplify right side
    307,227x = 221,084,278,416
  5. Step 5: Solve for x
    x = 221,084,278,416/307,227
  6. Step 6: Final answer
    x = 719,612.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.