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Finding the Third Proportional to 382,064 and 820,500

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Solution

The third proportional to 382,064 and 820,500 is: 1,762,061.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,064 : 820,500 = 820,500 : x
  2. Step 2: Convert to fraction form
    382,064/820,500 = 820,500/x
  3. Step 3: Cross multiply
    382,064x = 820,500 × 820,500
  4. Step 4: Simplify right side
    382,064x = 673,220,250,000
  5. Step 5: Solve for x
    x = 673,220,250,000/382,064
  6. Step 6: Final answer
    x = 1,762,061.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.