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Finding the Third Proportional to 300,917.75 and 467,445

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Solution

The third proportional to 300,917.75 and 467,445 is: 726,128.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,917.75 : 467,445 = 467,445 : x
  2. Step 2: Convert to fraction form
    300,917.75/467,445 = 467,445/x
  3. Step 3: Cross multiply
    300,917.75x = 467,445 × 467,445
  4. Step 4: Simplify right side
    300,917.75x = 218,504,828,025
  5. Step 5: Solve for x
    x = 218,504,828,025/300,917.75
  6. Step 6: Final answer
    x = 726,128.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.