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Finding the Third Proportional to 525,716 and 743,876

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Solution

The third proportional to 525,716 and 743,876 is: 1,052,567.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,716 : 743,876 = 743,876 : x
  2. Step 2: Convert to fraction form
    525,716/743,876 = 743,876/x
  3. Step 3: Cross multiply
    525,716x = 743,876 × 743,876
  4. Step 4: Simplify right side
    525,716x = 553,351,503,376
  5. Step 5: Solve for x
    x = 553,351,503,376/525,716
  6. Step 6: Final answer
    x = 1,052,567.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.