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Finding the Third Proportional to 559.13 and 1,199.53

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Solution

The third proportional to 559.13 and 1,199.53 is: 2,573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.13 : 1,199.53 = 1,199.53 : x
  2. Step 2: Convert to fraction form
    559.13/1,199.53 = 1,199.53/x
  3. Step 3: Cross multiply
    559.13x = 1,199.53 × 1,199.53
  4. Step 4: Simplify right side
    559.13x = 1,438,875.22
  5. Step 5: Solve for x
    x = 1,438,875.22/559.13
  6. Step 6: Final answer
    x = 2,573.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.