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Finding the Third Proportional to 327,052 and 479,810

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Solution

The third proportional to 327,052 and 479,810 is: 703,917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,052 : 479,810 = 479,810 : x
  2. Step 2: Convert to fraction form
    327,052/479,810 = 479,810/x
  3. Step 3: Cross multiply
    327,052x = 479,810 × 479,810
  4. Step 4: Simplify right side
    327,052x = 230,217,636,100
  5. Step 5: Solve for x
    x = 230,217,636,100/327,052
  6. Step 6: Final answer
    x = 703,917.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.