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Finding the Third Proportional to 421,935.75 and 632,950.88

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Solution

The third proportional to 421,935.75 and 632,950.88 is: 949,497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,935.75 : 632,950.88 = 632,950.88 : x
  2. Step 2: Convert to fraction form
    421,935.75/632,950.88 = 632,950.88/x
  3. Step 3: Cross multiply
    421,935.75x = 632,950.88 × 632,950.88
  4. Step 4: Simplify right side
    421,935.75x = 400,626,810,163.27
  5. Step 5: Solve for x
    x = 400,626,810,163.27/421,935.75
  6. Step 6: Final answer
    x = 949,497.19

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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.