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Finding the Third Proportional to 352,764.28 and 520,842.66

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Solution

The third proportional to 352,764.28 and 520,842.66 is: 769,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,764.28 : 520,842.66 = 520,842.66 : x
  2. Step 2: Convert to fraction form
    352,764.28/520,842.66 = 520,842.66/x
  3. Step 3: Cross multiply
    352,764.28x = 520,842.66 × 520,842.66
  4. Step 4: Simplify right side
    352,764.28x = 271,277,072,569.56
  5. Step 5: Solve for x
    x = 271,277,072,569.56/352,764.28
  6. Step 6: Final answer
    x = 769,003.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.