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Finding the Third Proportional to 378,496 and 824,192

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Solution

The third proportional to 378,496 and 824,192 is: 1,794,715.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,496 : 824,192 = 824,192 : x
  2. Step 2: Convert to fraction form
    378,496/824,192 = 824,192/x
  3. Step 3: Cross multiply
    378,496x = 824,192 × 824,192
  4. Step 4: Simplify right side
    378,496x = 679,292,452,864
  5. Step 5: Solve for x
    x = 679,292,452,864/378,496
  6. Step 6: Final answer
    x = 1,794,715.01

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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.