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Finding the Third Proportional to 352,243.69 and 503,556.75

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Solution

The third proportional to 352,243.69 and 503,556.75 is: 719,869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,243.69 : 503,556.75 = 503,556.75 : x
  2. Step 2: Convert to fraction form
    352,243.69/503,556.75 = 503,556.75/x
  3. Step 3: Cross multiply
    352,243.69x = 503,556.75 × 503,556.75
  4. Step 4: Simplify right side
    352,243.69x = 253,569,400,470.56
  5. Step 5: Solve for x
    x = 253,569,400,470.56/352,243.69
  6. Step 6: Final answer
    x = 719,869.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.