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Finding the Third Proportional to 378,864 and 585,184

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Solution

The third proportional to 378,864 and 585,184 is: 903,860.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,864 : 585,184 = 585,184 : x
  2. Step 2: Convert to fraction form
    378,864/585,184 = 585,184/x
  3. Step 3: Cross multiply
    378,864x = 585,184 × 585,184
  4. Step 4: Simplify right side
    378,864x = 342,440,313,856
  5. Step 5: Solve for x
    x = 342,440,313,856/378,864
  6. Step 6: Final answer
    x = 903,860.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.