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Finding the Third Proportional to 326,678 and 504,719

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Solution

The third proportional to 326,678 and 504,719 is: 779,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,678 : 504,719 = 504,719 : x
  2. Step 2: Convert to fraction form
    326,678/504,719 = 504,719/x
  3. Step 3: Cross multiply
    326,678x = 504,719 × 504,719
  4. Step 4: Simplify right side
    326,678x = 254,741,268,961
  5. Step 5: Solve for x
    x = 254,741,268,961/326,678
  6. Step 6: Final answer
    x = 779,793.16

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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.