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Finding the Third Proportional to 399,055.50 and 816,754.50

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Solution

The third proportional to 399,055.50 and 816,754.50 is: 1,671,667.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,055.50 : 816,754.50 = 816,754.50 : x
  2. Step 2: Convert to fraction form
    399,055.50/816,754.50 = 816,754.50/x
  3. Step 3: Cross multiply
    399,055.50x = 816,754.50 × 816,754.50
  4. Step 4: Simplify right side
    399,055.50x = 667,087,913,270.25
  5. Step 5: Solve for x
    x = 667,087,913,270.25/399,055.50
  6. Step 6: Final answer
    x = 1,671,667.01

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.