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Finding the Third Proportional to 416.48 and 896.02

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Solution

The third proportional to 416.48 and 896.02 is: 1,927.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.48 : 896.02 = 896.02 : x
  2. Step 2: Convert to fraction form
    416.48/896.02 = 896.02/x
  3. Step 3: Cross multiply
    416.48x = 896.02 × 896.02
  4. Step 4: Simplify right side
    416.48x = 802,844.00
  5. Step 5: Solve for x
    x = 802,844.00/416.48
  6. Step 6: Final answer
    x = 1,927.67

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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.