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Finding the Third Proportional to 744.75 and 1,592.06

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Solution

The third proportional to 744.75 and 1,592.06 is: 3,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.75 : 1,592.06 = 1,592.06 : x
  2. Step 2: Convert to fraction form
    744.75/1,592.06 = 1,592.06/x
  3. Step 3: Cross multiply
    744.75x = 1,592.06 × 1,592.06
  4. Step 4: Simplify right side
    744.75x = 2,534,663.00
  5. Step 5: Solve for x
    x = 2,534,663.00/744.75
  6. Step 6: Final answer
    x = 3,403.37

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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.