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Finding the Third Proportional to 414,078.75 and 893,400.75

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Solution

The third proportional to 414,078.75 and 893,400.75 is: 1,927,567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,078.75 : 893,400.75 = 893,400.75 : x
  2. Step 2: Convert to fraction form
    414,078.75/893,400.75 = 893,400.75/x
  3. Step 3: Cross multiply
    414,078.75x = 893,400.75 × 893,400.75
  4. Step 4: Simplify right side
    414,078.75x = 798,164,900,100.56
  5. Step 5: Solve for x
    x = 798,164,900,100.56/414,078.75
  6. Step 6: Final answer
    x = 1,927,567.88

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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.