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Finding the Third Proportional to 550,456.50 and 1,115,701.50

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Solution

The third proportional to 550,456.50 and 1,115,701.50 is: 2,261,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,456.50 : 1,115,701.50 = 1,115,701.50 : x
  2. Step 2: Convert to fraction form
    550,456.50/1,115,701.50 = 1,115,701.50/x
  3. Step 3: Cross multiply
    550,456.50x = 1,115,701.50 × 1,115,701.50
  4. Step 4: Simplify right side
    550,456.50x = 1,244,789,837,102.25
  5. Step 5: Solve for x
    x = 1,244,789,837,102.25/550,456.50
  6. Step 6: Final answer
    x = 2,261,377.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.