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Finding the Third Proportional to 227,766.94 and 498,436.03

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Solution

The third proportional to 227,766.94 and 498,436.03 is: 1,090,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,766.94 : 498,436.03 = 498,436.03 : x
  2. Step 2: Convert to fraction form
    227,766.94/498,436.03 = 498,436.03/x
  3. Step 3: Cross multiply
    227,766.94x = 498,436.03 × 498,436.03
  4. Step 4: Simplify right side
    227,766.94x = 248,438,477,248.25
  5. Step 5: Solve for x
    x = 248,438,477,248.25/227,766.94
  6. Step 6: Final answer
    x = 1,090,757.42

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Why These Related Problems?

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