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Finding the Third Proportional to 402,408.38 and 852,794.06

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Solution

The third proportional to 402,408.38 and 852,794.06 is: 1,807,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,408.38 : 852,794.06 = 852,794.06 : x
  2. Step 2: Convert to fraction form
    402,408.38/852,794.06 = 852,794.06/x
  3. Step 3: Cross multiply
    402,408.38x = 852,794.06 × 852,794.06
  4. Step 4: Simplify right side
    402,408.38x = 727,257,713,035.25
  5. Step 5: Solve for x
    x = 727,257,713,035.25/402,408.38
  6. Step 6: Final answer
    x = 1,807,262.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.