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Finding the Third Proportional to 350,180 and 509,956

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Solution

The third proportional to 350,180 and 509,956 is: 742,632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,180 : 509,956 = 509,956 : x
  2. Step 2: Convert to fraction form
    350,180/509,956 = 509,956/x
  3. Step 3: Cross multiply
    350,180x = 509,956 × 509,956
  4. Step 4: Simplify right side
    350,180x = 260,055,121,936
  5. Step 5: Solve for x
    x = 260,055,121,936/350,180
  6. Step 6: Final answer
    x = 742,632.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.