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Finding the Third Proportional to 350,508 and 525,165

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Solution

The third proportional to 350,508 and 525,165 is: 786,853.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,508 : 525,165 = 525,165 : x
  2. Step 2: Convert to fraction form
    350,508/525,165 = 525,165/x
  3. Step 3: Cross multiply
    350,508x = 525,165 × 525,165
  4. Step 4: Simplify right side
    350,508x = 275,798,277,225
  5. Step 5: Solve for x
    x = 275,798,277,225/350,508
  6. Step 6: Final answer
    x = 786,853.02

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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.