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Finding the Third Proportional to 362,461.50 and 852,882.75

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Solution

The third proportional to 362,461.50 and 852,882.75 is: 2,006,858.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,461.50 : 852,882.75 = 852,882.75 : x
  2. Step 2: Convert to fraction form
    362,461.50/852,882.75 = 852,882.75/x
  3. Step 3: Cross multiply
    362,461.50x = 852,882.75 × 852,882.75
  4. Step 4: Simplify right side
    362,461.50x = 727,408,985,247.56
  5. Step 5: Solve for x
    x = 727,408,985,247.56/362,461.50
  6. Step 6: Final answer
    x = 2,006,858.62

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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.