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Finding the Third Proportional to 324,904 and 474,684

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Solution

The third proportional to 324,904 and 474,684 is: 693,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,904 : 474,684 = 474,684 : x
  2. Step 2: Convert to fraction form
    324,904/474,684 = 474,684/x
  3. Step 3: Cross multiply
    324,904x = 474,684 × 474,684
  4. Step 4: Simplify right side
    324,904x = 225,324,899,856
  5. Step 5: Solve for x
    x = 225,324,899,856/324,904
  6. Step 6: Final answer
    x = 693,512.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.