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Finding the Third Proportional to 324,162.50 and 475,733.50

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Solution

The third proportional to 324,162.50 and 475,733.50 is: 698,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,162.50 : 475,733.50 = 475,733.50 : x
  2. Step 2: Convert to fraction form
    324,162.50/475,733.50 = 475,733.50/x
  3. Step 3: Cross multiply
    324,162.50x = 475,733.50 × 475,733.50
  4. Step 4: Simplify right side
    324,162.50x = 226,322,363,022.25
  5. Step 5: Solve for x
    x = 226,322,363,022.25/324,162.50
  6. Step 6: Final answer
    x = 698,175.65

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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.