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Finding the Third Proportional to 262,653.75 and 401,604.75

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Solution

The third proportional to 262,653.75 and 401,604.75 is: 614,064.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,653.75 : 401,604.75 = 401,604.75 : x
  2. Step 2: Convert to fraction form
    262,653.75/401,604.75 = 401,604.75/x
  3. Step 3: Cross multiply
    262,653.75x = 401,604.75 × 401,604.75
  4. Step 4: Simplify right side
    262,653.75x = 161,286,375,222.56
  5. Step 5: Solve for x
    x = 161,286,375,222.56/262,653.75
  6. Step 6: Final answer
    x = 614,064.62

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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.