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Finding the Third Proportional to 631,936.50 and 969,021

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Solution

The third proportional to 631,936.50 and 969,021 is: 1,485,911.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,936.50 : 969,021 = 969,021 : x
  2. Step 2: Convert to fraction form
    631,936.50/969,021 = 969,021/x
  3. Step 3: Cross multiply
    631,936.50x = 969,021 × 969,021
  4. Step 4: Simplify right side
    631,936.50x = 939,001,698,441
  5. Step 5: Solve for x
    x = 939,001,698,441/631,936.50
  6. Step 6: Final answer
    x = 1,485,911.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.