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Finding the Third Proportional to 281,754 and 436,950

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Solution

The third proportional to 281,754 and 436,950 is: 677,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,754 : 436,950 = 436,950 : x
  2. Step 2: Convert to fraction form
    281,754/436,950 = 436,950/x
  3. Step 3: Cross multiply
    281,754x = 436,950 × 436,950
  4. Step 4: Simplify right side
    281,754x = 190,925,302,500
  5. Step 5: Solve for x
    x = 190,925,302,500/281,754
  6. Step 6: Final answer
    x = 677,631.20

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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.