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Finding the Third Proportional to 566.63 and 1,344.56

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Solution

The third proportional to 566.63 and 1,344.56 is: 3,190.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.63 : 1,344.56 = 1,344.56 : x
  2. Step 2: Convert to fraction form
    566.63/1,344.56 = 1,344.56/x
  3. Step 3: Cross multiply
    566.63x = 1,344.56 × 1,344.56
  4. Step 4: Simplify right side
    566.63x = 1,807,848.32
  5. Step 5: Solve for x
    x = 1,807,848.32/566.63
  6. Step 6: Final answer
    x = 3,190.56

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.