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Finding the Third Proportional to 350,928 and 500,112

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Solution

The third proportional to 350,928 and 500,112 is: 712,716.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,928 : 500,112 = 500,112 : x
  2. Step 2: Convert to fraction form
    350,928/500,112 = 500,112/x
  3. Step 3: Cross multiply
    350,928x = 500,112 × 500,112
  4. Step 4: Simplify right side
    350,928x = 250,112,012,544
  5. Step 5: Solve for x
    x = 250,112,012,544/350,928
  6. Step 6: Final answer
    x = 712,716.03

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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.