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Finding the Third Proportional to 303,740 and 482,736

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Solution

The third proportional to 303,740 and 482,736 is: 767,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,740 : 482,736 = 482,736 : x
  2. Step 2: Convert to fraction form
    303,740/482,736 = 482,736/x
  3. Step 3: Cross multiply
    303,740x = 482,736 × 482,736
  4. Step 4: Simplify right side
    303,740x = 233,034,045,696
  5. Step 5: Solve for x
    x = 233,034,045,696/303,740
  6. Step 6: Final answer
    x = 767,215.53

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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.