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Finding the Third Proportional to 267,366 and 575,052

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Solution

The third proportional to 267,366 and 575,052 is: 1,236,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,366 : 575,052 = 575,052 : x
  2. Step 2: Convert to fraction form
    267,366/575,052 = 575,052/x
  3. Step 3: Cross multiply
    267,366x = 575,052 × 575,052
  4. Step 4: Simplify right side
    267,366x = 330,684,802,704
  5. Step 5: Solve for x
    x = 330,684,802,704/267,366
  6. Step 6: Final answer
    x = 1,236,824.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.