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Finding the Third Proportional to 593.75 and 1,187.38

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Solution

The third proportional to 593.75 and 1,187.38 is: 2,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.75 : 1,187.38 = 1,187.38 : x
  2. Step 2: Convert to fraction form
    593.75/1,187.38 = 1,187.38/x
  3. Step 3: Cross multiply
    593.75x = 1,187.38 × 1,187.38
  4. Step 4: Simplify right side
    593.75x = 1,409,859.39
  5. Step 5: Solve for x
    x = 1,409,859.39/593.75
  6. Step 6: Final answer
    x = 2,374.50

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.