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Finding the Third Proportional to 269,424.75 and 422,645.81

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Solution

The third proportional to 269,424.75 and 422,645.81 is: 663,003.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,424.75 : 422,645.81 = 422,645.81 : x
  2. Step 2: Convert to fraction form
    269,424.75/422,645.81 = 422,645.81/x
  3. Step 3: Cross multiply
    269,424.75x = 422,645.81 × 422,645.81
  4. Step 4: Simplify right side
    269,424.75x = 178,629,482,823.79
  5. Step 5: Solve for x
    x = 178,629,482,823.79/269,424.75
  6. Step 6: Final answer
    x = 663,003.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.