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Finding the Third Proportional to 335,308.50 and 470,976.75

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Solution

The third proportional to 335,308.50 and 470,976.75 is: 661,537.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,308.50 : 470,976.75 = 470,976.75 : x
  2. Step 2: Convert to fraction form
    335,308.50/470,976.75 = 470,976.75/x
  3. Step 3: Cross multiply
    335,308.50x = 470,976.75 × 470,976.75
  4. Step 4: Simplify right side
    335,308.50x = 221,819,099,040.56
  5. Step 5: Solve for x
    x = 221,819,099,040.56/335,308.50
  6. Step 6: Final answer
    x = 661,537.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.