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Finding the Third Proportional to 322,956 and 504,054

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Solution

The third proportional to 322,956 and 504,054 is: 786,702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,956 : 504,054 = 504,054 : x
  2. Step 2: Convert to fraction form
    322,956/504,054 = 504,054/x
  3. Step 3: Cross multiply
    322,956x = 504,054 × 504,054
  4. Step 4: Simplify right side
    322,956x = 254,070,434,916
  5. Step 5: Solve for x
    x = 254,070,434,916/322,956
  6. Step 6: Final answer
    x = 786,702.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.