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Finding the Third Proportional to 858.38 and 1,346.44

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Solution

The third proportional to 858.38 and 1,346.44 is: 2,112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.38 : 1,346.44 = 1,346.44 : x
  2. Step 2: Convert to fraction form
    858.38/1,346.44 = 1,346.44/x
  3. Step 3: Cross multiply
    858.38x = 1,346.44 × 1,346.44
  4. Step 4: Simplify right side
    858.38x = 1,812,893.94
  5. Step 5: Solve for x
    x = 1,812,893.94/858.38
  6. Step 6: Final answer
    x = 2,112.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.