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Finding the Third Proportional to 350,518 and 525,182

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Solution

The third proportional to 350,518 and 525,182 is: 786,881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,518 : 525,182 = 525,182 : x
  2. Step 2: Convert to fraction form
    350,518/525,182 = 525,182/x
  3. Step 3: Cross multiply
    350,518x = 525,182 × 525,182
  4. Step 4: Simplify right side
    350,518x = 275,816,133,124
  5. Step 5: Solve for x
    x = 275,816,133,124/350,518
  6. Step 6: Final answer
    x = 786,881.51

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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.