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Finding the Third Proportional to 593.91 and 913.64

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Solution

The third proportional to 593.91 and 913.64 is: 1,405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.91 : 913.64 = 913.64 : x
  2. Step 2: Convert to fraction form
    593.91/913.64 = 913.64/x
  3. Step 3: Cross multiply
    593.91x = 913.64 × 913.64
  4. Step 4: Simplify right side
    593.91x = 834,739.19
  5. Step 5: Solve for x
    x = 834,739.19/593.91
  6. Step 6: Final answer
    x = 1,405.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.