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Finding the Third Proportional to 609,268.88 and 851,751.94

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Solution

The third proportional to 609,268.88 and 851,751.94 is: 1,190,740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,268.88 : 851,751.94 = 851,751.94 : x
  2. Step 2: Convert to fraction form
    609,268.88/851,751.94 = 851,751.94/x
  3. Step 3: Cross multiply
    609,268.88x = 851,751.94 × 851,751.94
  4. Step 4: Simplify right side
    609,268.88x = 725,481,363,035.00
  5. Step 5: Solve for x
    x = 725,481,363,035.00/609,268.88
  6. Step 6: Final answer
    x = 1,190,740.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.