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Finding the Third Proportional to 575.02 and 1,183.99

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Solution

The third proportional to 575.02 and 1,183.99 is: 2,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.02 : 1,183.99 = 1,183.99 : x
  2. Step 2: Convert to fraction form
    575.02/1,183.99 = 1,183.99/x
  3. Step 3: Cross multiply
    575.02x = 1,183.99 × 1,183.99
  4. Step 4: Simplify right side
    575.02x = 1,401,837.50
  5. Step 5: Solve for x
    x = 1,401,837.50/575.02
  6. Step 6: Final answer
    x = 2,437.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.