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Finding the Third Proportional to 336,867.50 and 505,301

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Solution

The third proportional to 336,867.50 and 505,301 is: 757,951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,867.50 : 505,301 = 505,301 : x
  2. Step 2: Convert to fraction form
    336,867.50/505,301 = 505,301/x
  3. Step 3: Cross multiply
    336,867.50x = 505,301 × 505,301
  4. Step 4: Simplify right side
    336,867.50x = 255,329,100,601
  5. Step 5: Solve for x
    x = 255,329,100,601/336,867.50
  6. Step 6: Final answer
    x = 757,951.13

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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.