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Finding the Third Proportional to 244,187 and 523,416

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Solution

The third proportional to 244,187 and 523,416 is: 1,121,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,187 : 523,416 = 523,416 : x
  2. Step 2: Convert to fraction form
    244,187/523,416 = 523,416/x
  3. Step 3: Cross multiply
    244,187x = 523,416 × 523,416
  4. Step 4: Simplify right side
    244,187x = 273,964,309,056
  5. Step 5: Solve for x
    x = 273,964,309,056/244,187
  6. Step 6: Final answer
    x = 1,121,944.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.