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Finding the Third Proportional to 362,662.50 and 778,843.50

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Solution

The third proportional to 362,662.50 and 778,843.50 is: 1,672,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,662.50 : 778,843.50 = 778,843.50 : x
  2. Step 2: Convert to fraction form
    362,662.50/778,843.50 = 778,843.50/x
  3. Step 3: Cross multiply
    362,662.50x = 778,843.50 × 778,843.50
  4. Step 4: Simplify right side
    362,662.50x = 606,597,197,492.25
  5. Step 5: Solve for x
    x = 606,597,197,492.25/362,662.50
  6. Step 6: Final answer
    x = 1,672,621.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.