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Finding the Third Proportional to 267,786 and 555,255

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Solution

The third proportional to 267,786 and 555,255 is: 1,151,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,786 : 555,255 = 555,255 : x
  2. Step 2: Convert to fraction form
    267,786/555,255 = 555,255/x
  3. Step 3: Cross multiply
    267,786x = 555,255 × 555,255
  4. Step 4: Simplify right side
    267,786x = 308,308,115,025
  5. Step 5: Solve for x
    x = 308,308,115,025/267,786
  6. Step 6: Final answer
    x = 1,151,322.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.