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Finding the Third Proportional to 612,091.69 and 950,977.97

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Solution

The third proportional to 612,091.69 and 950,977.97 is: 1,477,489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,091.69 : 950,977.97 = 950,977.97 : x
  2. Step 2: Convert to fraction form
    612,091.69/950,977.97 = 950,977.97/x
  3. Step 3: Cross multiply
    612,091.69x = 950,977.97 × 950,977.97
  4. Step 4: Simplify right side
    612,091.69x = 904,359,097,047.88
  5. Step 5: Solve for x
    x = 904,359,097,047.88/612,091.69
  6. Step 6: Final answer
    x = 1,477,489.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.