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Finding the Third Proportional to 605,575.50 and 880,174.50

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Solution

The third proportional to 605,575.50 and 880,174.50 is: 1,279,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,575.50 : 880,174.50 = 880,174.50 : x
  2. Step 2: Convert to fraction form
    605,575.50/880,174.50 = 880,174.50/x
  3. Step 3: Cross multiply
    605,575.50x = 880,174.50 × 880,174.50
  4. Step 4: Simplify right side
    605,575.50x = 774,707,150,450.25
  5. Step 5: Solve for x
    x = 774,707,150,450.25/605,575.50
  6. Step 6: Final answer
    x = 1,279,290.77

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.