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Finding the Third Proportional to 408,300.75 and 438,918.75

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Solution

The third proportional to 408,300.75 and 438,918.75 is: 471,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,300.75 : 438,918.75 = 438,918.75 : x
  2. Step 2: Convert to fraction form
    408,300.75/438,918.75 = 438,918.75/x
  3. Step 3: Cross multiply
    408,300.75x = 438,918.75 × 438,918.75
  4. Step 4: Simplify right side
    408,300.75x = 192,649,669,101.56
  5. Step 5: Solve for x
    x = 192,649,669,101.56/408,300.75
  6. Step 6: Final answer
    x = 471,832.76

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.