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Finding the Third Proportional to 463,756 and 696,742

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Solution

The third proportional to 463,756 and 696,742 is: 1,046,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,756 : 696,742 = 696,742 : x
  2. Step 2: Convert to fraction form
    463,756/696,742 = 696,742/x
  3. Step 3: Cross multiply
    463,756x = 696,742 × 696,742
  4. Step 4: Simplify right side
    463,756x = 485,449,414,564
  5. Step 5: Solve for x
    x = 485,449,414,564/463,756
  6. Step 6: Final answer
    x = 1,046,777.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.