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Finding the Third Proportional to 324,167.63 and 475,733.81

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Solution

The third proportional to 324,167.63 and 475,733.81 is: 698,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,167.63 : 475,733.81 = 475,733.81 : x
  2. Step 2: Convert to fraction form
    324,167.63/475,733.81 = 475,733.81/x
  3. Step 3: Cross multiply
    324,167.63x = 475,733.81 × 475,733.81
  4. Step 4: Simplify right side
    324,167.63x = 226,322,660,355.79
  5. Step 5: Solve for x
    x = 226,322,660,355.79/324,167.63
  6. Step 6: Final answer
    x = 698,165.53

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