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Finding the Third Proportional to 365,208 and 548,676

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Solution

The third proportional to 365,208 and 548,676 is: 824,312.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,208 : 548,676 = 548,676 : x
  2. Step 2: Convert to fraction form
    365,208/548,676 = 548,676/x
  3. Step 3: Cross multiply
    365,208x = 548,676 × 548,676
  4. Step 4: Simplify right side
    365,208x = 301,045,352,976
  5. Step 5: Solve for x
    x = 301,045,352,976/365,208
  6. Step 6: Final answer
    x = 824,312.04

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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.