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Finding the Third Proportional to 336,736.50 and 522,813.75

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Solution

The third proportional to 336,736.50 and 522,813.75 is: 811,715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,736.50 : 522,813.75 = 522,813.75 : x
  2. Step 2: Convert to fraction form
    336,736.50/522,813.75 = 522,813.75/x
  3. Step 3: Cross multiply
    336,736.50x = 522,813.75 × 522,813.75
  4. Step 4: Simplify right side
    336,736.50x = 273,334,217,189.06
  5. Step 5: Solve for x
    x = 273,334,217,189.06/336,736.50
  6. Step 6: Final answer
    x = 811,715.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.