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Finding the Third Proportional to 353,826 and 520,299

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Solution

The third proportional to 353,826 and 520,299 is: 765,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,826 : 520,299 = 520,299 : x
  2. Step 2: Convert to fraction form
    353,826/520,299 = 520,299/x
  3. Step 3: Cross multiply
    353,826x = 520,299 × 520,299
  4. Step 4: Simplify right side
    353,826x = 270,711,049,401
  5. Step 5: Solve for x
    x = 270,711,049,401/353,826
  6. Step 6: Final answer
    x = 765,096.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.