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Finding the Third Proportional to 419,998.50 and 905,607

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Solution

The third proportional to 419,998.50 and 905,607 is: 1,952,683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,998.50 : 905,607 = 905,607 : x
  2. Step 2: Convert to fraction form
    419,998.50/905,607 = 905,607/x
  3. Step 3: Cross multiply
    419,998.50x = 905,607 × 905,607
  4. Step 4: Simplify right side
    419,998.50x = 820,124,038,449
  5. Step 5: Solve for x
    x = 820,124,038,449/419,998.50
  6. Step 6: Final answer
    x = 1,952,683.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.