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Finding the Third Proportional to 263,100 and 570,552

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Solution

The third proportional to 263,100 and 570,552 is: 1,237,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,100 : 570,552 = 570,552 : x
  2. Step 2: Convert to fraction form
    263,100/570,552 = 570,552/x
  3. Step 3: Cross multiply
    263,100x = 570,552 × 570,552
  4. Step 4: Simplify right side
    263,100x = 325,529,584,704
  5. Step 5: Solve for x
    x = 325,529,584,704/263,100
  6. Step 6: Final answer
    x = 1,237,284.62

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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.