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Finding the Third Proportional to 714,424 and 970,268

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Solution

The third proportional to 714,424 and 970,268 is: 1,317,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,424 : 970,268 = 970,268 : x
  2. Step 2: Convert to fraction form
    714,424/970,268 = 970,268/x
  3. Step 3: Cross multiply
    714,424x = 970,268 × 970,268
  4. Step 4: Simplify right side
    714,424x = 941,419,991,824
  5. Step 5: Solve for x
    x = 941,419,991,824/714,424
  6. Step 6: Final answer
    x = 1,317,732.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.