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Finding the Third Proportional to 421,035.75 and 905,114.25

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Solution

The third proportional to 421,035.75 and 905,114.25 is: 1,945,753.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,035.75 : 905,114.25 = 905,114.25 : x
  2. Step 2: Convert to fraction form
    421,035.75/905,114.25 = 905,114.25/x
  3. Step 3: Cross multiply
    421,035.75x = 905,114.25 × 905,114.25
  4. Step 4: Simplify right side
    421,035.75x = 819,231,805,553.06
  5. Step 5: Solve for x
    x = 819,231,805,553.06/421,035.75
  6. Step 6: Final answer
    x = 1,945,753.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.