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Finding the Third Proportional to 324,066 and 475,155

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Solution

The third proportional to 324,066 and 475,155 is: 696,686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,066 : 475,155 = 475,155 : x
  2. Step 2: Convert to fraction form
    324,066/475,155 = 475,155/x
  3. Step 3: Cross multiply
    324,066x = 475,155 × 475,155
  4. Step 4: Simplify right side
    324,066x = 225,772,274,025
  5. Step 5: Solve for x
    x = 225,772,274,025/324,066
  6. Step 6: Final answer
    x = 696,686.09

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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.