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Finding the Third Proportional to 362,472 and 852,828

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Solution

The third proportional to 362,472 and 852,828 is: 2,006,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,472 : 852,828 = 852,828 : x
  2. Step 2: Convert to fraction form
    362,472/852,828 = 852,828/x
  3. Step 3: Cross multiply
    362,472x = 852,828 × 852,828
  4. Step 4: Simplify right side
    362,472x = 727,315,597,584
  5. Step 5: Solve for x
    x = 727,315,597,584/362,472
  6. Step 6: Final answer
    x = 2,006,542.84

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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.