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Finding the Third Proportional to 550,893.34 and 851,251.31

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Solution

The third proportional to 550,893.34 and 851,251.31 is: 1,315,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,893.34 : 851,251.31 = 851,251.31 : x
  2. Step 2: Convert to fraction form
    550,893.34/851,251.31 = 851,251.31/x
  3. Step 3: Cross multiply
    550,893.34x = 851,251.31 × 851,251.31
  4. Step 4: Simplify right side
    550,893.34x = 724,628,787,057.40
  5. Step 5: Solve for x
    x = 724,628,787,057.40/550,893.34
  6. Step 6: Final answer
    x = 1,315,370.39

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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.