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Finding the Third Proportional to 329,081 and 505,596

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Solution

The third proportional to 329,081 and 505,596 is: 776,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,081 : 505,596 = 505,596 : x
  2. Step 2: Convert to fraction form
    329,081/505,596 = 505,596/x
  3. Step 3: Cross multiply
    329,081x = 505,596 × 505,596
  4. Step 4: Simplify right side
    329,081x = 255,627,315,216
  5. Step 5: Solve for x
    x = 255,627,315,216/329,081
  6. Step 6: Final answer
    x = 776,791.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.