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Finding the Third Proportional to 324,904 and 505,022

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Solution

The third proportional to 324,904 and 505,022 is: 784,992.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,904 : 505,022 = 505,022 : x
  2. Step 2: Convert to fraction form
    324,904/505,022 = 505,022/x
  3. Step 3: Cross multiply
    324,904x = 505,022 × 505,022
  4. Step 4: Simplify right side
    324,904x = 255,047,220,484
  5. Step 5: Solve for x
    x = 255,047,220,484/324,904
  6. Step 6: Final answer
    x = 784,992.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.