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Finding the Third Proportional to 378,001 and 584,864

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Solution

The third proportional to 378,001 and 584,864 is: 904,933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,001 : 584,864 = 584,864 : x
  2. Step 2: Convert to fraction form
    378,001/584,864 = 584,864/x
  3. Step 3: Cross multiply
    378,001x = 584,864 × 584,864
  4. Step 4: Simplify right side
    378,001x = 342,065,898,496
  5. Step 5: Solve for x
    x = 342,065,898,496/378,001
  6. Step 6: Final answer
    x = 904,933.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.