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Finding the Third Proportional to 267,264 and 570,112

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Solution

The third proportional to 267,264 and 570,112 is: 1,216,129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,264 : 570,112 = 570,112 : x
  2. Step 2: Convert to fraction form
    267,264/570,112 = 570,112/x
  3. Step 3: Cross multiply
    267,264x = 570,112 × 570,112
  4. Step 4: Simplify right side
    267,264x = 325,027,692,544
  5. Step 5: Solve for x
    x = 325,027,692,544/267,264
  6. Step 6: Final answer
    x = 1,216,129.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.