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Finding the Third Proportional to 350,909 and 501,813

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Solution

The third proportional to 350,909 and 501,813 is: 717,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,909 : 501,813 = 501,813 : x
  2. Step 2: Convert to fraction form
    350,909/501,813 = 501,813/x
  3. Step 3: Cross multiply
    350,909x = 501,813 × 501,813
  4. Step 4: Simplify right side
    350,909x = 251,816,286,969
  5. Step 5: Solve for x
    x = 251,816,286,969/350,909
  6. Step 6: Final answer
    x = 717,611.37

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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.