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Finding the Third Proportional to 377,365 and 512,766

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Solution

The third proportional to 377,365 and 512,766 is: 696,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,365 : 512,766 = 512,766 : x
  2. Step 2: Convert to fraction form
    377,365/512,766 = 512,766/x
  3. Step 3: Cross multiply
    377,365x = 512,766 × 512,766
  4. Step 4: Simplify right side
    377,365x = 262,928,970,756
  5. Step 5: Solve for x
    x = 262,928,970,756/377,365
  6. Step 6: Final answer
    x = 696,749.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.