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Finding the Third Proportional to 504,923 and 737,856

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Solution

The third proportional to 504,923 and 737,856 is: 1,078,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,923 : 737,856 = 737,856 : x
  2. Step 2: Convert to fraction form
    504,923/737,856 = 737,856/x
  3. Step 3: Cross multiply
    504,923x = 737,856 × 737,856
  4. Step 4: Simplify right side
    504,923x = 544,431,476,736
  5. Step 5: Solve for x
    x = 544,431,476,736/504,923
  6. Step 6: Final answer
    x = 1,078,246.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.