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Finding the Third Proportional to 380,736 and 846,575

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Solution

The third proportional to 380,736 and 846,575 is: 1,882,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,736 : 846,575 = 846,575 : x
  2. Step 2: Convert to fraction form
    380,736/846,575 = 846,575/x
  3. Step 3: Cross multiply
    380,736x = 846,575 × 846,575
  4. Step 4: Simplify right side
    380,736x = 716,689,230,625
  5. Step 5: Solve for x
    x = 716,689,230,625/380,736
  6. Step 6: Final answer
    x = 1,882,378.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.