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Finding the Third Proportional to 336,600 and 505,764

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Solution

The third proportional to 336,600 and 505,764 is: 759,944.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,600 : 505,764 = 505,764 : x
  2. Step 2: Convert to fraction form
    336,600/505,764 = 505,764/x
  3. Step 3: Cross multiply
    336,600x = 505,764 × 505,764
  4. Step 4: Simplify right side
    336,600x = 255,797,223,696
  5. Step 5: Solve for x
    x = 255,797,223,696/336,600
  6. Step 6: Final answer
    x = 759,944.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.