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Finding the Third Proportional to 593.63 and 1,301.44

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Solution

The third proportional to 593.63 and 1,301.44 is: 2,853.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.63 : 1,301.44 = 1,301.44 : x
  2. Step 2: Convert to fraction form
    593.63/1,301.44 = 1,301.44/x
  3. Step 3: Cross multiply
    593.63x = 1,301.44 × 1,301.44
  4. Step 4: Simplify right side
    593.63x = 1,693,739.57
  5. Step 5: Solve for x
    x = 1,693,739.57/593.63
  6. Step 6: Final answer
    x = 2,853.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.