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Finding the Third Proportional to 416.44 and 611.06

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Solution

The third proportional to 416.44 and 611.06 is: 896.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.44 : 611.06 = 611.06 : x
  2. Step 2: Convert to fraction form
    416.44/611.06 = 611.06/x
  3. Step 3: Cross multiply
    416.44x = 611.06 × 611.06
  4. Step 4: Simplify right side
    416.44x = 373,397.38
  5. Step 5: Solve for x
    x = 373,397.38/416.44
  6. Step 6: Final answer
    x = 896.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.