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Finding the Third Proportional to 235,224 and 517,104

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Solution

The third proportional to 235,224 and 517,104 is: 1,136,774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,224 : 517,104 = 517,104 : x
  2. Step 2: Convert to fraction form
    235,224/517,104 = 517,104/x
  3. Step 3: Cross multiply
    235,224x = 517,104 × 517,104
  4. Step 4: Simplify right side
    235,224x = 267,396,546,816
  5. Step 5: Solve for x
    x = 267,396,546,816/235,224
  6. Step 6: Final answer
    x = 1,136,774.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.