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Finding the Third Proportional to 254,661 and 555,975

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Solution

The third proportional to 254,661 and 555,975 is: 1,213,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,661 : 555,975 = 555,975 : x
  2. Step 2: Convert to fraction form
    254,661/555,975 = 555,975/x
  3. Step 3: Cross multiply
    254,661x = 555,975 × 555,975
  4. Step 4: Simplify right side
    254,661x = 309,108,200,625
  5. Step 5: Solve for x
    x = 309,108,200,625/254,661
  6. Step 6: Final answer
    x = 1,213,802.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.