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Finding the Third Proportional to 364,077 and 569,876

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Solution

The third proportional to 364,077 and 569,876 is: 892,005.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,077 : 569,876 = 569,876 : x
  2. Step 2: Convert to fraction form
    364,077/569,876 = 569,876/x
  3. Step 3: Cross multiply
    364,077x = 569,876 × 569,876
  4. Step 4: Simplify right side
    364,077x = 324,758,655,376
  5. Step 5: Solve for x
    x = 324,758,655,376/364,077
  6. Step 6: Final answer
    x = 892,005.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.