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Finding the Third Proportional to 263,700 and 419,265

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Solution

The third proportional to 263,700 and 419,265 is: 666,602.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,700 : 419,265 = 419,265 : x
  2. Step 2: Convert to fraction form
    263,700/419,265 = 419,265/x
  3. Step 3: Cross multiply
    263,700x = 419,265 × 419,265
  4. Step 4: Simplify right side
    263,700x = 175,783,140,225
  5. Step 5: Solve for x
    x = 175,783,140,225/263,700
  6. Step 6: Final answer
    x = 666,602.73

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.