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Finding the Third Proportional to 422,394.75 and 879,735.94

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Solution

The third proportional to 422,394.75 and 879,735.94 is: 1,832,256.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,394.75 : 879,735.94 = 879,735.94 : x
  2. Step 2: Convert to fraction form
    422,394.75/879,735.94 = 879,735.94/x
  3. Step 3: Cross multiply
    422,394.75x = 879,735.94 × 879,735.94
  4. Step 4: Simplify right side
    422,394.75x = 773,935,319,729.00
  5. Step 5: Solve for x
    x = 773,935,319,729.00/422,394.75
  6. Step 6: Final answer
    x = 1,832,256.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.