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Finding the Third Proportional to 263,096 and 570,544

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Solution

The third proportional to 263,096 and 570,544 is: 1,237,268.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,096 : 570,544 = 570,544 : x
  2. Step 2: Convert to fraction form
    263,096/570,544 = 570,544/x
  3. Step 3: Cross multiply
    263,096x = 570,544 × 570,544
  4. Step 4: Simplify right side
    263,096x = 325,520,455,936
  5. Step 5: Solve for x
    x = 325,520,455,936/263,096
  6. Step 6: Final answer
    x = 1,237,268.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.