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Finding the Third Proportional to 350,623.69 and 757,299.38

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Solution

The third proportional to 350,623.69 and 757,299.38 is: 1,635,663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,623.69 : 757,299.38 = 757,299.38 : x
  2. Step 2: Convert to fraction form
    350,623.69/757,299.38 = 757,299.38/x
  3. Step 3: Cross multiply
    350,623.69x = 757,299.38 × 757,299.38
  4. Step 4: Simplify right side
    350,623.69x = 573,502,343,375.39
  5. Step 5: Solve for x
    x = 573,502,343,375.39/350,623.69
  6. Step 6: Final answer
    x = 1,635,663.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.