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Finding the Third Proportional to 350,504 and 525,166

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Solution

The third proportional to 350,504 and 525,166 is: 786,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,504 : 525,166 = 525,166 : x
  2. Step 2: Convert to fraction form
    350,504/525,166 = 525,166/x
  3. Step 3: Cross multiply
    350,504x = 525,166 × 525,166
  4. Step 4: Simplify right side
    350,504x = 275,799,327,556
  5. Step 5: Solve for x
    x = 275,799,327,556/350,504
  6. Step 6: Final answer
    x = 786,864.99

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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.