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Finding the Third Proportional to 384,832.13 and 603,684

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Solution

The third proportional to 384,832.13 and 603,684 is: 946,995.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,832.13 : 603,684 = 603,684 : x
  2. Step 2: Convert to fraction form
    384,832.13/603,684 = 603,684/x
  3. Step 3: Cross multiply
    384,832.13x = 603,684 × 603,684
  4. Step 4: Simplify right side
    384,832.13x = 364,434,371,856
  5. Step 5: Solve for x
    x = 364,434,371,856/384,832.13
  6. Step 6: Final answer
    x = 946,995.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.