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Finding the Third Proportional to 315,717.75 and 481,456.13

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Solution

The third proportional to 315,717.75 and 481,456.13 is: 734,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,717.75 : 481,456.13 = 481,456.13 : x
  2. Step 2: Convert to fraction form
    315,717.75/481,456.13 = 481,456.13/x
  3. Step 3: Cross multiply
    315,717.75x = 481,456.13 × 481,456.13
  4. Step 4: Simplify right side
    315,717.75x = 231,800,000,300.02
  5. Step 5: Solve for x
    x = 231,800,000,300.02/315,717.75
  6. Step 6: Final answer
    x = 734,200.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.