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Finding the Third Proportional to 225,706 and 350,611

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Solution

The third proportional to 225,706 and 350,611 is: 544,638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,706 : 350,611 = 350,611 : x
  2. Step 2: Convert to fraction form
    225,706/350,611 = 350,611/x
  3. Step 3: Cross multiply
    225,706x = 350,611 × 350,611
  4. Step 4: Simplify right side
    225,706x = 122,928,073,321
  5. Step 5: Solve for x
    x = 122,928,073,321/225,706
  6. Step 6: Final answer
    x = 544,638.04

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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.