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Finding the Third Proportional to 392,575.50 and 859,923

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Solution

The third proportional to 392,575.50 and 859,923 is: 1,883,631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,575.50 : 859,923 = 859,923 : x
  2. Step 2: Convert to fraction form
    392,575.50/859,923 = 859,923/x
  3. Step 3: Cross multiply
    392,575.50x = 859,923 × 859,923
  4. Step 4: Simplify right side
    392,575.50x = 739,467,565,929
  5. Step 5: Solve for x
    x = 739,467,565,929/392,575.50
  6. Step 6: Final answer
    x = 1,883,631.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.