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Finding the Third Proportional to 498,244 and 773,615

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Solution

The third proportional to 498,244 and 773,615 is: 1,201,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,244 : 773,615 = 773,615 : x
  2. Step 2: Convert to fraction form
    498,244/773,615 = 773,615/x
  3. Step 3: Cross multiply
    498,244x = 773,615 × 773,615
  4. Step 4: Simplify right side
    498,244x = 598,480,168,225
  5. Step 5: Solve for x
    x = 598,480,168,225/498,244
  6. Step 6: Final answer
    x = 1,201,178.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.