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Finding the Third Proportional to 633,177 and 948,665.25

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Solution

The third proportional to 633,177 and 948,665.25 is: 1,421,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,177 : 948,665.25 = 948,665.25 : x
  2. Step 2: Convert to fraction form
    633,177/948,665.25 = 948,665.25/x
  3. Step 3: Cross multiply
    633,177x = 948,665.25 × 948,665.25
  4. Step 4: Simplify right side
    633,177x = 899,965,756,557.56
  5. Step 5: Solve for x
    x = 899,965,756,557.56/633,177
  6. Step 6: Final answer
    x = 1,421,349.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.