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Finding the Third Proportional to 324,048 and 475,128

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Solution

The third proportional to 324,048 and 475,128 is: 696,645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,048 : 475,128 = 475,128 : x
  2. Step 2: Convert to fraction form
    324,048/475,128 = 475,128/x
  3. Step 3: Cross multiply
    324,048x = 475,128 × 475,128
  4. Step 4: Simplify right side
    324,048x = 225,746,616,384
  5. Step 5: Solve for x
    x = 225,746,616,384/324,048
  6. Step 6: Final answer
    x = 696,645.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.