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Finding the Third Proportional to 896.34 and 1,370.20

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Solution

The third proportional to 896.34 and 1,370.20 is: 2,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.34 : 1,370.20 = 1,370.20 : x
  2. Step 2: Convert to fraction form
    896.34/1,370.20 = 1,370.20/x
  3. Step 3: Cross multiply
    896.34x = 1,370.20 × 1,370.20
  4. Step 4: Simplify right side
    896.34x = 1,877,456.60
  5. Step 5: Solve for x
    x = 1,877,456.60/896.34
  6. Step 6: Final answer
    x = 2,094.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.