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Finding the Third Proportional to 631,425 and 962,896.50

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Solution

The third proportional to 631,425 and 962,896.50 is: 1,468,376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,425 : 962,896.50 = 962,896.50 : x
  2. Step 2: Convert to fraction form
    631,425/962,896.50 = 962,896.50/x
  3. Step 3: Cross multiply
    631,425x = 962,896.50 × 962,896.50
  4. Step 4: Simplify right side
    631,425x = 927,169,669,712.25
  5. Step 5: Solve for x
    x = 927,169,669,712.25/631,425
  6. Step 6: Final answer
    x = 1,468,376.56

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