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Finding the Third Proportional to 362,005.88 and 476,037.56

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Solution

The third proportional to 362,005.88 and 476,037.56 is: 625,989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,005.88 : 476,037.56 = 476,037.56 : x
  2. Step 2: Convert to fraction form
    362,005.88/476,037.56 = 476,037.56/x
  3. Step 3: Cross multiply
    362,005.88x = 476,037.56 × 476,037.56
  4. Step 4: Simplify right side
    362,005.88x = 226,611,760,910.94
  5. Step 5: Solve for x
    x = 226,611,760,910.94/362,005.88
  6. Step 6: Final answer
    x = 625,989.18

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.