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Finding the Third Proportional to 276,867 and 654,984

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Solution

The third proportional to 276,867 and 654,984 is: 1,549,495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,867 : 654,984 = 654,984 : x
  2. Step 2: Convert to fraction form
    276,867/654,984 = 654,984/x
  3. Step 3: Cross multiply
    276,867x = 654,984 × 654,984
  4. Step 4: Simplify right side
    276,867x = 429,004,040,256
  5. Step 5: Solve for x
    x = 429,004,040,256/276,867
  6. Step 6: Final answer
    x = 1,549,495.03

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.