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Finding the Third Proportional to 631,383.75 and 962,836.50

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Solution

The third proportional to 631,383.75 and 962,836.50 is: 1,468,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,383.75 : 962,836.50 = 962,836.50 : x
  2. Step 2: Convert to fraction form
    631,383.75/962,836.50 = 962,836.50/x
  3. Step 3: Cross multiply
    631,383.75x = 962,836.50 × 962,836.50
  4. Step 4: Simplify right side
    631,383.75x = 927,054,125,732.25
  5. Step 5: Solve for x
    x = 927,054,125,732.25/631,383.75
  6. Step 6: Final answer
    x = 1,468,289.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.