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Finding the Third Proportional to 228,540.38 and 492,200.81

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Solution

The third proportional to 228,540.38 and 492,200.81 is: 1,060,038.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,540.38 : 492,200.81 = 492,200.81 : x
  2. Step 2: Convert to fraction form
    228,540.38/492,200.81 = 492,200.81/x
  3. Step 3: Cross multiply
    228,540.38x = 492,200.81 × 492,200.81
  4. Step 4: Simplify right side
    228,540.38x = 242,261,639,825.66
  5. Step 5: Solve for x
    x = 242,261,639,825.66/228,540.38
  6. Step 6: Final answer
    x = 1,060,038.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.