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Finding the Third Proportional to 244,458 and 529,615

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Solution

The third proportional to 244,458 and 529,615 is: 1,147,403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,458 : 529,615 = 529,615 : x
  2. Step 2: Convert to fraction form
    244,458/529,615 = 529,615/x
  3. Step 3: Cross multiply
    244,458x = 529,615 × 529,615
  4. Step 4: Simplify right side
    244,458x = 280,492,048,225
  5. Step 5: Solve for x
    x = 280,492,048,225/244,458
  6. Step 6: Final answer
    x = 1,147,403.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.