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Finding the Third Proportional to 362,478 and 852,918

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Solution

The third proportional to 362,478 and 852,918 is: 2,006,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,478 : 852,918 = 852,918 : x
  2. Step 2: Convert to fraction form
    362,478/852,918 = 852,918/x
  3. Step 3: Cross multiply
    362,478x = 852,918 × 852,918
  4. Step 4: Simplify right side
    362,478x = 727,469,114,724
  5. Step 5: Solve for x
    x = 727,469,114,724/362,478
  6. Step 6: Final answer
    x = 2,006,933.15

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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.