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Finding the Third Proportional to 593.02 and 854.12

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Solution

The third proportional to 593.02 and 854.12 is: 1,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.02 : 854.12 = 854.12 : x
  2. Step 2: Convert to fraction form
    593.02/854.12 = 854.12/x
  3. Step 3: Cross multiply
    593.02x = 854.12 × 854.12
  4. Step 4: Simplify right side
    593.02x = 729,522.84
  5. Step 5: Solve for x
    x = 729,522.84/593.02
  6. Step 6: Final answer
    x = 1,230.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.