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Finding the Third Proportional to 385.80 and 593.58

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Solution

The third proportional to 385.80 and 593.58 is: 913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.80 : 593.58 = 593.58 : x
  2. Step 2: Convert to fraction form
    385.80/593.58 = 593.58/x
  3. Step 3: Cross multiply
    385.80x = 593.58 × 593.58
  4. Step 4: Simplify right side
    385.80x = 352,334.99
  5. Step 5: Solve for x
    x = 352,334.99/385.80
  6. Step 6: Final answer
    x = 913.25

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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.