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Finding the Third Proportional to 352,694,796.75 and 493,302,514.50

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Solution

The third proportional to 352,694,796.75 and 493,302,514.50 is: 689,965,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,694,796.75 : 493,302,514.50 = 493,302,514.50 : x
  2. Step 2: Convert to fraction form
    352,694,796.75/493,302,514.50 = 493,302,514.50/x
  3. Step 3: Cross multiply
    352,694,796.75x = 493,302,514.50 × 493,302,514.50
  4. Step 4: Simplify right side
    352,694,796.75x = 243,347,370,812,022,720
  5. Step 5: Solve for x
    x = 243,347,370,812,022,720/352,694,796.75
  6. Step 6: Final answer
    x = 689,965,865.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.