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Finding the Third Proportional to 336,567 and 505,094

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Solution

The third proportional to 336,567 and 505,094 is: 758,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,567 : 505,094 = 505,094 : x
  2. Step 2: Convert to fraction form
    336,567/505,094 = 505,094/x
  3. Step 3: Cross multiply
    336,567x = 505,094 × 505,094
  4. Step 4: Simplify right side
    336,567x = 255,119,948,836
  5. Step 5: Solve for x
    x = 255,119,948,836/336,567
  6. Step 6: Final answer
    x = 758,006.43

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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.