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Finding the Third Proportional to 336,820.78 and 505,231.17

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Solution

The third proportional to 336,820.78 and 505,231.17 is: 757,846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,820.78 : 505,231.17 = 505,231.17 : x
  2. Step 2: Convert to fraction form
    336,820.78/505,231.17 = 505,231.17/x
  3. Step 3: Cross multiply
    336,820.78x = 505,231.17 × 505,231.17
  4. Step 4: Simplify right side
    336,820.78x = 255,258,537,034.19
  5. Step 5: Solve for x
    x = 255,258,537,034.19/336,820.78
  6. Step 6: Final answer
    x = 757,846.76

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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.