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Finding the Third Proportional to 427,218.75 and 934,233.75

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Solution

The third proportional to 427,218.75 and 934,233.75 is: 2,042,964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,218.75 : 934,233.75 = 934,233.75 : x
  2. Step 2: Convert to fraction form
    427,218.75/934,233.75 = 934,233.75/x
  3. Step 3: Cross multiply
    427,218.75x = 934,233.75 × 934,233.75
  4. Step 4: Simplify right side
    427,218.75x = 872,792,699,639.06
  5. Step 5: Solve for x
    x = 872,792,699,639.06/427,218.75
  6. Step 6: Final answer
    x = 2,042,964.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.