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Finding the Third Proportional to 512,124 and 775,260

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Solution

The third proportional to 512,124 and 775,260 is: 1,173,598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,124 : 775,260 = 775,260 : x
  2. Step 2: Convert to fraction form
    512,124/775,260 = 775,260/x
  3. Step 3: Cross multiply
    512,124x = 775,260 × 775,260
  4. Step 4: Simplify right side
    512,124x = 601,028,067,600
  5. Step 5: Solve for x
    x = 601,028,067,600/512,124
  6. Step 6: Final answer
    x = 1,173,598.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.