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Finding the Third Proportional to 281,616.75 and 436,650.75

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Solution

The third proportional to 281,616.75 and 436,650.75 is: 677,033.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,616.75 : 436,650.75 = 436,650.75 : x
  2. Step 2: Convert to fraction form
    281,616.75/436,650.75 = 436,650.75/x
  3. Step 3: Cross multiply
    281,616.75x = 436,650.75 × 436,650.75
  4. Step 4: Simplify right side
    281,616.75x = 190,663,877,475.56
  5. Step 5: Solve for x
    x = 190,663,877,475.56/281,616.75
  6. Step 6: Final answer
    x = 677,033.16

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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.