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Finding the Third Proportional to 227,778 and 498,458.50

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Solution

The third proportional to 227,778 and 498,458.50 is: 1,090,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,778 : 498,458.50 = 498,458.50 : x
  2. Step 2: Convert to fraction form
    227,778/498,458.50 = 498,458.50/x
  3. Step 3: Cross multiply
    227,778x = 498,458.50 × 498,458.50
  4. Step 4: Simplify right side
    227,778x = 248,460,876,222.25
  5. Step 5: Solve for x
    x = 248,460,876,222.25/227,778
  6. Step 6: Final answer
    x = 1,090,802.78

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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.