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Finding the Third Proportional to 427,233.75 and 922,016.25

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Solution

The third proportional to 427,233.75 and 922,016.25 is: 1,989,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,233.75 : 922,016.25 = 922,016.25 : x
  2. Step 2: Convert to fraction form
    427,233.75/922,016.25 = 922,016.25/x
  3. Step 3: Cross multiply
    427,233.75x = 922,016.25 × 922,016.25
  4. Step 4: Simplify right side
    427,233.75x = 850,113,965,264.06
  5. Step 5: Solve for x
    x = 850,113,965,264.06/427,233.75
  6. Step 6: Final answer
    x = 1,989,809.95

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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.