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Finding the Third Proportional to 365,538 and 846,168

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Solution

The third proportional to 365,538 and 846,168 is: 1,958,757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,538 : 846,168 = 846,168 : x
  2. Step 2: Convert to fraction form
    365,538/846,168 = 846,168/x
  3. Step 3: Cross multiply
    365,538x = 846,168 × 846,168
  4. Step 4: Simplify right side
    365,538x = 716,000,284,224
  5. Step 5: Solve for x
    x = 716,000,284,224/365,538
  6. Step 6: Final answer
    x = 1,958,757.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.