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Finding the Third Proportional to 324,072 and 475,164

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Solution

The third proportional to 324,072 and 475,164 is: 696,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,072 : 475,164 = 475,164 : x
  2. Step 2: Convert to fraction form
    324,072/475,164 = 475,164/x
  3. Step 3: Cross multiply
    324,072x = 475,164 × 475,164
  4. Step 4: Simplify right side
    324,072x = 225,780,826,896
  5. Step 5: Solve for x
    x = 225,780,826,896/324,072
  6. Step 6: Final answer
    x = 696,699.58

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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.