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Finding the Third Proportional to 246,057.75 and 536,584.50

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Solution

The third proportional to 246,057.75 and 536,584.50 is: 1,170,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,057.75 : 536,584.50 = 536,584.50 : x
  2. Step 2: Convert to fraction form
    246,057.75/536,584.50 = 536,584.50/x
  3. Step 3: Cross multiply
    246,057.75x = 536,584.50 × 536,584.50
  4. Step 4: Simplify right side
    246,057.75x = 287,922,925,640.25
  5. Step 5: Solve for x
    x = 287,922,925,640.25/246,057.75
  6. Step 6: Final answer
    x = 1,170,143.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.