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Finding the Third Proportional to 631,996 and 894,252

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Solution

The third proportional to 631,996 and 894,252 is: 1,265,334.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,996 : 894,252 = 894,252 : x
  2. Step 2: Convert to fraction form
    631,996/894,252 = 894,252/x
  3. Step 3: Cross multiply
    631,996x = 894,252 × 894,252
  4. Step 4: Simplify right side
    631,996x = 799,686,639,504
  5. Step 5: Solve for x
    x = 799,686,639,504/631,996
  6. Step 6: Final answer
    x = 1,265,334.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.