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Finding the Third Proportional to 281,245.50 and 435,598.31

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Solution

The third proportional to 281,245.50 and 435,598.31 is: 674,662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,245.50 : 435,598.31 = 435,598.31 : x
  2. Step 2: Convert to fraction form
    281,245.50/435,598.31 = 435,598.31/x
  3. Step 3: Cross multiply
    281,245.50x = 435,598.31 × 435,598.31
  4. Step 4: Simplify right side
    281,245.50x = 189,745,889,852.85
  5. Step 5: Solve for x
    x = 189,745,889,852.85/281,245.50
  6. Step 6: Final answer
    x = 674,662.85

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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.