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Finding the Third Proportional to 362,478 and 852,843

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Solution

The third proportional to 362,478 and 852,843 is: 2,006,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,478 : 852,843 = 852,843 : x
  2. Step 2: Convert to fraction form
    362,478/852,843 = 852,843/x
  3. Step 3: Cross multiply
    362,478x = 852,843 × 852,843
  4. Step 4: Simplify right side
    362,478x = 727,341,182,649
  5. Step 5: Solve for x
    x = 727,341,182,649/362,478
  6. Step 6: Final answer
    x = 2,006,580.21

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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.