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Finding the Third Proportional to 414,889.88 and 845,007.75

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Solution

The third proportional to 414,889.88 and 845,007.75 is: 1,721,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,889.88 : 845,007.75 = 845,007.75 : x
  2. Step 2: Convert to fraction form
    414,889.88/845,007.75 = 845,007.75/x
  3. Step 3: Cross multiply
    414,889.88x = 845,007.75 × 845,007.75
  4. Step 4: Simplify right side
    414,889.88x = 714,038,097,560.06
  5. Step 5: Solve for x
    x = 714,038,097,560.06/414,889.88
  6. Step 6: Final answer
    x = 1,721,030.42

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.