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Finding the Third Proportional to 308,808 and 463,212

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Solution

The third proportional to 308,808 and 463,212 is: 694,818

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,808 : 463,212 = 463,212 : x
  2. Step 2: Convert to fraction form
    308,808/463,212 = 463,212/x
  3. Step 3: Cross multiply
    308,808x = 463,212 × 463,212
  4. Step 4: Simplify right side
    308,808x = 214,565,356,944
  5. Step 5: Solve for x
    x = 214,565,356,944/308,808
  6. Step 6: Final answer
    x = 694,818

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.