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Finding the Third Proportional to 944.00 and 1,388.23

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Solution

The third proportional to 944.00 and 1,388.23 is: 2,041.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.00 : 1,388.23 = 1,388.23 : x
  2. Step 2: Convert to fraction form
    944.00/1,388.23 = 1,388.23/x
  3. Step 3: Cross multiply
    944.00x = 1,388.23 × 1,388.23
  4. Step 4: Simplify right side
    944.00x = 1,927,189.26
  5. Step 5: Solve for x
    x = 1,927,189.26/944.00
  6. Step 6: Final answer
    x = 2,041.52

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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.