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Finding the Third Proportional to 455,563.50 and 967,186.50

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Solution

The third proportional to 455,563.50 and 967,186.50 is: 2,053,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,563.50 : 967,186.50 = 967,186.50 : x
  2. Step 2: Convert to fraction form
    455,563.50/967,186.50 = 967,186.50/x
  3. Step 3: Cross multiply
    455,563.50x = 967,186.50 × 967,186.50
  4. Step 4: Simplify right side
    455,563.50x = 935,449,725,782.25
  5. Step 5: Solve for x
    x = 935,449,725,782.25/455,563.50
  6. Step 6: Final answer
    x = 2,053,390.42

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.