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Finding the Third Proportional to 281,181 and 435,509

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Solution

The third proportional to 281,181 and 435,509 is: 674,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,181 : 435,509 = 435,509 : x
  2. Step 2: Convert to fraction form
    281,181/435,509 = 435,509/x
  3. Step 3: Cross multiply
    281,181x = 435,509 × 435,509
  4. Step 4: Simplify right side
    281,181x = 189,668,089,081
  5. Step 5: Solve for x
    x = 189,668,089,081/281,181
  6. Step 6: Final answer
    x = 674,540.92

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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.