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Finding the Third Proportional to 414,095.25 and 887,239.75

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Solution

The third proportional to 414,095.25 and 887,239.75 is: 1,900,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,095.25 : 887,239.75 = 887,239.75 : x
  2. Step 2: Convert to fraction form
    414,095.25/887,239.75 = 887,239.75/x
  3. Step 3: Cross multiply
    414,095.25x = 887,239.75 × 887,239.75
  4. Step 4: Simplify right side
    414,095.25x = 787,194,373,980.06
  5. Step 5: Solve for x
    x = 787,194,373,980.06/414,095.25
  6. Step 6: Final answer
    x = 1,900,998.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.