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Finding the Third Proportional to 324,065 and 475,153

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Solution

The third proportional to 324,065 and 475,153 is: 696,682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,065 : 475,153 = 475,153 : x
  2. Step 2: Convert to fraction form
    324,065/475,153 = 475,153/x
  3. Step 3: Cross multiply
    324,065x = 475,153 × 475,153
  4. Step 4: Simplify right side
    324,065x = 225,770,373,409
  5. Step 5: Solve for x
    x = 225,770,373,409/324,065
  6. Step 6: Final answer
    x = 696,682.37

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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.