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Finding the Third Proportional to 743.45 and 1,592.26

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Solution

The third proportional to 743.45 and 1,592.26 is: 3,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.45 : 1,592.26 = 1,592.26 : x
  2. Step 2: Convert to fraction form
    743.45/1,592.26 = 1,592.26/x
  3. Step 3: Cross multiply
    743.45x = 1,592.26 × 1,592.26
  4. Step 4: Simplify right side
    743.45x = 2,535,297.38
  5. Step 5: Solve for x
    x = 2,535,297.38/743.45
  6. Step 6: Final answer
    x = 3,410.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.