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Finding the Third Proportional to 303,743 and 482,742

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Solution

The third proportional to 303,743 and 482,742 is: 767,227.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,743 : 482,742 = 482,742 : x
  2. Step 2: Convert to fraction form
    303,743/482,742 = 482,742/x
  3. Step 3: Cross multiply
    303,743x = 482,742 × 482,742
  4. Step 4: Simplify right side
    303,743x = 233,039,838,564
  5. Step 5: Solve for x
    x = 233,039,838,564/303,743
  6. Step 6: Final answer
    x = 767,227.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.