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Finding the Third Proportional to 450,087.75 and 976,448.25

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Solution

The third proportional to 450,087.75 and 976,448.25 is: 2,118,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,087.75 : 976,448.25 = 976,448.25 : x
  2. Step 2: Convert to fraction form
    450,087.75/976,448.25 = 976,448.25/x
  3. Step 3: Cross multiply
    450,087.75x = 976,448.25 × 976,448.25
  4. Step 4: Simplify right side
    450,087.75x = 953,451,184,928.06
  5. Step 5: Solve for x
    x = 953,451,184,928.06/450,087.75
  6. Step 6: Final answer
    x = 2,118,367.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.