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Finding the Third Proportional to 361,152 and 483,162.75

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Solution

The third proportional to 361,152 and 483,162.75 is: 646,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,152 : 483,162.75 = 483,162.75 : x
  2. Step 2: Convert to fraction form
    361,152/483,162.75 = 483,162.75/x
  3. Step 3: Cross multiply
    361,152x = 483,162.75 × 483,162.75
  4. Step 4: Simplify right side
    361,152x = 233,446,242,987.56
  5. Step 5: Solve for x
    x = 233,446,242,987.56/361,152
  6. Step 6: Final answer
    x = 646,393.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.