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Finding the Third Proportional to 631,992 and 894,248

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Solution

The third proportional to 631,992 and 894,248 is: 1,265,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,992 : 894,248 = 894,248 : x
  2. Step 2: Convert to fraction form
    631,992/894,248 = 894,248/x
  3. Step 3: Cross multiply
    631,992x = 894,248 × 894,248
  4. Step 4: Simplify right side
    631,992x = 799,679,485,504
  5. Step 5: Solve for x
    x = 799,679,485,504/631,992
  6. Step 6: Final answer
    x = 1,265,331.66

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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.