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Finding the Third Proportional to 352,514 and 775,012

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Solution

The third proportional to 352,514 and 775,012 is: 1,703,885.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,514 : 775,012 = 775,012 : x
  2. Step 2: Convert to fraction form
    352,514/775,012 = 775,012/x
  3. Step 3: Cross multiply
    352,514x = 775,012 × 775,012
  4. Step 4: Simplify right side
    352,514x = 600,643,600,144
  5. Step 5: Solve for x
    x = 600,643,600,144/352,514
  6. Step 6: Final answer
    x = 1,703,885.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.