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Finding the Third Proportional to 228,040 and 498,992

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Solution

The third proportional to 228,040 and 498,992 is: 1,091,883.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,040 : 498,992 = 498,992 : x
  2. Step 2: Convert to fraction form
    228,040/498,992 = 498,992/x
  3. Step 3: Cross multiply
    228,040x = 498,992 × 498,992
  4. Step 4: Simplify right side
    228,040x = 248,993,016,064
  5. Step 5: Solve for x
    x = 248,993,016,064/228,040
  6. Step 6: Final answer
    x = 1,091,883.07

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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.