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Finding the Third Proportional to 227,610 and 498,079.50

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Solution

The third proportional to 227,610 and 498,079.50 is: 1,089,948.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,610 : 498,079.50 = 498,079.50 : x
  2. Step 2: Convert to fraction form
    227,610/498,079.50 = 498,079.50/x
  3. Step 3: Cross multiply
    227,610x = 498,079.50 × 498,079.50
  4. Step 4: Simplify right side
    227,610x = 248,083,188,320.25
  5. Step 5: Solve for x
    x = 248,083,188,320.25/227,610
  6. Step 6: Final answer
    x = 1,089,948.54

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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.