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Finding the Third Proportional to 379,024 and 824,864

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Solution

The third proportional to 379,024 and 824,864 is: 1,795,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,024 : 824,864 = 824,864 : x
  2. Step 2: Convert to fraction form
    379,024/824,864 = 824,864/x
  3. Step 3: Cross multiply
    379,024x = 824,864 × 824,864
  4. Step 4: Simplify right side
    379,024x = 680,400,618,496
  5. Step 5: Solve for x
    x = 680,400,618,496/379,024
  6. Step 6: Final answer
    x = 1,795,138.62

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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.