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Finding the Third Proportional to 362,016 and 476,052.75

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Solution

The third proportional to 362,016 and 476,052.75 is: 626,011.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,016 : 476,052.75 = 476,052.75 : x
  2. Step 2: Convert to fraction form
    362,016/476,052.75 = 476,052.75/x
  3. Step 3: Cross multiply
    362,016x = 476,052.75 × 476,052.75
  4. Step 4: Simplify right side
    362,016x = 226,626,220,782.56
  5. Step 5: Solve for x
    x = 226,626,220,782.56/362,016
  6. Step 6: Final answer
    x = 626,011.61

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.