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Finding the Third Proportional to 308,192 and 673,088

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Solution

The third proportional to 308,192 and 673,088 is: 1,470,016.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,192 : 673,088 = 673,088 : x
  2. Step 2: Convert to fraction form
    308,192/673,088 = 673,088/x
  3. Step 3: Cross multiply
    308,192x = 673,088 × 673,088
  4. Step 4: Simplify right side
    308,192x = 453,047,455,744
  5. Step 5: Solve for x
    x = 453,047,455,744/308,192
  6. Step 6: Final answer
    x = 1,470,016.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.