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Finding the Third Proportional to 254,676 and 539,704

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Solution

The third proportional to 254,676 and 539,704 is: 1,143,729.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,676 : 539,704 = 539,704 : x
  2. Step 2: Convert to fraction form
    254,676/539,704 = 539,704/x
  3. Step 3: Cross multiply
    254,676x = 539,704 × 539,704
  4. Step 4: Simplify right side
    254,676x = 291,280,407,616
  5. Step 5: Solve for x
    x = 291,280,407,616/254,676
  6. Step 6: Final answer
    x = 1,143,729.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.