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Finding the Third Proportional to 245,268 and 529,233

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Solution

The third proportional to 245,268 and 529,233 is: 1,141,965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,268 : 529,233 = 529,233 : x
  2. Step 2: Convert to fraction form
    245,268/529,233 = 529,233/x
  3. Step 3: Cross multiply
    245,268x = 529,233 × 529,233
  4. Step 4: Simplify right side
    245,268x = 280,087,568,289
  5. Step 5: Solve for x
    x = 280,087,568,289/245,268
  6. Step 6: Final answer
    x = 1,141,965.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.