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Finding the Third Proportional to 336,554 and 505,077

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Solution

The third proportional to 336,554 and 505,077 is: 757,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,554 : 505,077 = 505,077 : x
  2. Step 2: Convert to fraction form
    336,554/505,077 = 505,077/x
  3. Step 3: Cross multiply
    336,554x = 505,077 × 505,077
  4. Step 4: Simplify right side
    336,554x = 255,102,775,929
  5. Step 5: Solve for x
    x = 255,102,775,929/336,554
  6. Step 6: Final answer
    x = 757,984.68

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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.