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Finding the Third Proportional to 353,824 and 520,296

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Solution

The third proportional to 353,824 and 520,296 is: 765,092.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,824 : 520,296 = 520,296 : x
  2. Step 2: Convert to fraction form
    353,824/520,296 = 520,296/x
  3. Step 3: Cross multiply
    353,824x = 520,296 × 520,296
  4. Step 4: Simplify right side
    353,824x = 270,707,927,616
  5. Step 5: Solve for x
    x = 270,707,927,616/353,824
  6. Step 6: Final answer
    x = 765,092.04

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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.