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Finding the Third Proportional to 367,826.25 and 562,431.38

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Solution

The third proportional to 367,826.25 and 562,431.38 is: 859,995.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,826.25 : 562,431.38 = 562,431.38 : x
  2. Step 2: Convert to fraction form
    367,826.25/562,431.38 = 562,431.38/x
  3. Step 3: Cross multiply
    367,826.25x = 562,431.38 × 562,431.38
  4. Step 4: Simplify right side
    367,826.25x = 316,329,051,584.39
  5. Step 5: Solve for x
    x = 316,329,051,584.39/367,826.25
  6. Step 6: Final answer
    x = 859,995.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.