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Finding the Third Proportional to 228,830.06 and 492,099.05

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Solution

The third proportional to 228,830.06 and 492,099.05 is: 1,058,258.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,830.06 : 492,099.05 = 492,099.05 : x
  2. Step 2: Convert to fraction form
    228,830.06/492,099.05 = 492,099.05/x
  3. Step 3: Cross multiply
    228,830.06x = 492,099.05 × 492,099.05
  4. Step 4: Simplify right side
    228,830.06x = 242,161,471,935.28
  5. Step 5: Solve for x
    x = 242,161,471,935.28/228,830.06
  6. Step 6: Final answer
    x = 1,058,258.99

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