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Finding the Third Proportional to 227,948 and 496,032.50

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Solution

The third proportional to 227,948 and 496,032.50 is: 1,079,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,948 : 496,032.50 = 496,032.50 : x
  2. Step 2: Convert to fraction form
    227,948/496,032.50 = 496,032.50/x
  3. Step 3: Cross multiply
    227,948x = 496,032.50 × 496,032.50
  4. Step 4: Simplify right side
    227,948x = 246,048,241,056.25
  5. Step 5: Solve for x
    x = 246,048,241,056.25/227,948
  6. Step 6: Final answer
    x = 1,079,405.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.