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Finding the Third Proportional to 350,503 and 525,162

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Solution

The third proportional to 350,503 and 525,162 is: 786,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,503 : 525,162 = 525,162 : x
  2. Step 2: Convert to fraction form
    350,503/525,162 = 525,162/x
  3. Step 3: Cross multiply
    350,503x = 525,162 × 525,162
  4. Step 4: Simplify right side
    350,503x = 275,795,126,244
  5. Step 5: Solve for x
    x = 275,795,126,244/350,503
  6. Step 6: Final answer
    x = 786,855.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.