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Finding the Third Proportional to 419,265 and 905,273.50

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Solution

The third proportional to 419,265 and 905,273.50 is: 1,954,659.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,265 : 905,273.50 = 905,273.50 : x
  2. Step 2: Convert to fraction form
    419,265/905,273.50 = 905,273.50/x
  3. Step 3: Cross multiply
    419,265x = 905,273.50 × 905,273.50
  4. Step 4: Simplify right side
    419,265x = 819,520,109,802.25
  5. Step 5: Solve for x
    x = 819,520,109,802.25/419,265
  6. Step 6: Final answer
    x = 1,954,659.01

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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.