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Finding the Third Proportional to 267,896 and 590,308

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Solution

The third proportional to 267,896 and 590,308 is: 1,300,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,896 : 590,308 = 590,308 : x
  2. Step 2: Convert to fraction form
    267,896/590,308 = 590,308/x
  3. Step 3: Cross multiply
    267,896x = 590,308 × 590,308
  4. Step 4: Simplify right side
    267,896x = 348,463,534,864
  5. Step 5: Solve for x
    x = 348,463,534,864/267,896
  6. Step 6: Final answer
    x = 1,300,741.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.