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Finding the Third Proportional to 474,244 and 693,615

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Solution

The third proportional to 474,244 and 693,615 is: 1,014,460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,244 : 693,615 = 693,615 : x
  2. Step 2: Convert to fraction form
    474,244/693,615 = 693,615/x
  3. Step 3: Cross multiply
    474,244x = 693,615 × 693,615
  4. Step 4: Simplify right side
    474,244x = 481,101,768,225
  5. Step 5: Solve for x
    x = 481,101,768,225/474,244
  6. Step 6: Final answer
    x = 1,014,460.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.