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Finding the Third Proportional to 362,471 and 852,825

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Solution

The third proportional to 362,471 and 852,825 is: 2,006,534.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,471 : 852,825 = 852,825 : x
  2. Step 2: Convert to fraction form
    362,471/852,825 = 852,825/x
  3. Step 3: Cross multiply
    362,471x = 852,825 × 852,825
  4. Step 4: Simplify right side
    362,471x = 727,310,480,625
  5. Step 5: Solve for x
    x = 727,310,480,625/362,471
  6. Step 6: Final answer
    x = 2,006,534.26

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.