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Finding the Third Proportional to 281,707.88 and 436,230.56

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Solution

The third proportional to 281,707.88 and 436,230.56 is: 675,512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,707.88 : 436,230.56 = 436,230.56 : x
  2. Step 2: Convert to fraction form
    281,707.88/436,230.56 = 436,230.56/x
  3. Step 3: Cross multiply
    281,707.88x = 436,230.56 × 436,230.56
  4. Step 4: Simplify right side
    281,707.88x = 190,297,103,659.07
  5. Step 5: Solve for x
    x = 190,297,103,659.07/281,707.88
  6. Step 6: Final answer
    x = 675,512.19

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1.5x scale

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.