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Finding the Third Proportional to 227,562 and 498,862.50

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Solution

The third proportional to 227,562 and 498,862.50 is: 1,093,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,562 : 498,862.50 = 498,862.50 : x
  2. Step 2: Convert to fraction form
    227,562/498,862.50 = 498,862.50/x
  3. Step 3: Cross multiply
    227,562x = 498,862.50 × 498,862.50
  4. Step 4: Simplify right side
    227,562x = 248,863,793,906.25
  5. Step 5: Solve for x
    x = 248,863,793,906.25/227,562
  6. Step 6: Final answer
    x = 1,093,608.75

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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.