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Finding the Third Proportional to 445,616.81 and 962,258.06

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Solution

The third proportional to 445,616.81 and 962,258.06 is: 2,077,885.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,616.81 : 962,258.06 = 962,258.06 : x
  2. Step 2: Convert to fraction form
    445,616.81/962,258.06 = 962,258.06/x
  3. Step 3: Cross multiply
    445,616.81x = 962,258.06 × 962,258.06
  4. Step 4: Simplify right side
    445,616.81x = 925,940,578,846.25
  5. Step 5: Solve for x
    x = 925,940,578,846.25/445,616.81
  6. Step 6: Final answer
    x = 2,077,885.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.