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Finding the Third Proportional to 375,732 and 806,112

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Solution

The third proportional to 375,732 and 806,112 is: 1,729,468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,732 : 806,112 = 806,112 : x
  2. Step 2: Convert to fraction form
    375,732/806,112 = 806,112/x
  3. Step 3: Cross multiply
    375,732x = 806,112 × 806,112
  4. Step 4: Simplify right side
    375,732x = 649,816,556,544
  5. Step 5: Solve for x
    x = 649,816,556,544/375,732
  6. Step 6: Final answer
    x = 1,729,468.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.