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Finding the Third Proportional to 350,904 and 531,311

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Solution

The third proportional to 350,904 and 531,311 is: 804,468.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,904 : 531,311 = 531,311 : x
  2. Step 2: Convert to fraction form
    350,904/531,311 = 531,311/x
  3. Step 3: Cross multiply
    350,904x = 531,311 × 531,311
  4. Step 4: Simplify right side
    350,904x = 282,291,378,721
  5. Step 5: Solve for x
    x = 282,291,378,721/350,904
  6. Step 6: Final answer
    x = 804,468.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.