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Finding the Third Proportional to 550,579.50 and 815,635.50

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Solution

The third proportional to 550,579.50 and 815,635.50 is: 1,208,292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,579.50 : 815,635.50 = 815,635.50 : x
  2. Step 2: Convert to fraction form
    550,579.50/815,635.50 = 815,635.50/x
  3. Step 3: Cross multiply
    550,579.50x = 815,635.50 × 815,635.50
  4. Step 4: Simplify right side
    550,579.50x = 665,261,268,860.25
  5. Step 5: Solve for x
    x = 665,261,268,860.25/550,579.50
  6. Step 6: Final answer
    x = 1,208,292.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.