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Finding the Third Proportional to 350,911 and 501,816

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Solution

The third proportional to 350,911 and 501,816 is: 717,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,911 : 501,816 = 501,816 : x
  2. Step 2: Convert to fraction form
    350,911/501,816 = 501,816/x
  3. Step 3: Cross multiply
    350,911x = 501,816 × 501,816
  4. Step 4: Simplify right side
    350,911x = 251,819,297,856
  5. Step 5: Solve for x
    x = 251,819,297,856/350,911
  6. Step 6: Final answer
    x = 717,615.86

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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.