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Finding the Third Proportional to 414,172.50 and 905,889

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Solution

The third proportional to 414,172.50 and 905,889 is: 1,981,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,172.50 : 905,889 = 905,889 : x
  2. Step 2: Convert to fraction form
    414,172.50/905,889 = 905,889/x
  3. Step 3: Cross multiply
    414,172.50x = 905,889 × 905,889
  4. Step 4: Simplify right side
    414,172.50x = 820,634,880,321
  5. Step 5: Solve for x
    x = 820,634,880,321/414,172.50
  6. Step 6: Final answer
    x = 1,981,384.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.