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Finding the Third Proportional to 526,404 and 786,093

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Solution

The third proportional to 526,404 and 786,093 is: 1,173,893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,404 : 786,093 = 786,093 : x
  2. Step 2: Convert to fraction form
    526,404/786,093 = 786,093/x
  3. Step 3: Cross multiply
    526,404x = 786,093 × 786,093
  4. Step 4: Simplify right side
    526,404x = 617,942,204,649
  5. Step 5: Solve for x
    x = 617,942,204,649/526,404
  6. Step 6: Final answer
    x = 1,173,893.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.