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Finding the Third Proportional to 606,208.50 and 882,659.25

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Solution

The third proportional to 606,208.50 and 882,659.25 is: 1,285,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,208.50 : 882,659.25 = 882,659.25 : x
  2. Step 2: Convert to fraction form
    606,208.50/882,659.25 = 882,659.25/x
  3. Step 3: Cross multiply
    606,208.50x = 882,659.25 × 882,659.25
  4. Step 4: Simplify right side
    606,208.50x = 779,087,351,610.56
  5. Step 5: Solve for x
    x = 779,087,351,610.56/606,208.50
  6. Step 6: Final answer
    x = 1,285,180.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.