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Finding the Third Proportional to 593.26 and 884.99

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Solution

The third proportional to 593.26 and 884.99 is: 1,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.26 : 884.99 = 884.99 : x
  2. Step 2: Convert to fraction form
    593.26/884.99 = 884.99/x
  3. Step 3: Cross multiply
    593.26x = 884.99 × 884.99
  4. Step 4: Simplify right side
    593.26x = 783,204.26
  5. Step 5: Solve for x
    x = 783,204.26/593.26
  6. Step 6: Final answer
    x = 1,320.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.