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Finding the Third Proportional to 504.42 and 1,199.67

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Solution

The third proportional to 504.42 and 1,199.67 is: 2,853.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.42 : 1,199.67 = 1,199.67 : x
  2. Step 2: Convert to fraction form
    504.42/1,199.67 = 1,199.67/x
  3. Step 3: Cross multiply
    504.42x = 1,199.67 × 1,199.67
  4. Step 4: Simplify right side
    504.42x = 1,439,212.61
  5. Step 5: Solve for x
    x = 1,439,212.61/504.42
  6. Step 6: Final answer
    x = 2,853.19

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.