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Finding the Third Proportional to 419,557.50 and 905,454

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Solution

The third proportional to 419,557.50 and 905,454 is: 1,954,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,557.50 : 905,454 = 905,454 : x
  2. Step 2: Convert to fraction form
    419,557.50/905,454 = 905,454/x
  3. Step 3: Cross multiply
    419,557.50x = 905,454 × 905,454
  4. Step 4: Simplify right side
    419,557.50x = 819,846,946,116
  5. Step 5: Solve for x
    x = 819,846,946,116/419,557.50
  6. Step 6: Final answer
    x = 1,954,075.30

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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.