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Finding the Third Proportional to 631,985.25 and 894,239.75

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Solution

The third proportional to 631,985.25 and 894,239.75 is: 1,265,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,985.25 : 894,239.75 = 894,239.75 : x
  2. Step 2: Convert to fraction form
    631,985.25/894,239.75 = 894,239.75/x
  3. Step 3: Cross multiply
    631,985.25x = 894,239.75 × 894,239.75
  4. Step 4: Simplify right side
    631,985.25x = 799,664,730,480.06
  5. Step 5: Solve for x
    x = 799,664,730,480.06/631,985.25
  6. Step 6: Final answer
    x = 1,265,321.83

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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.