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Finding the Third Proportional to 303,716 and 453,111

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Solution

The third proportional to 303,716 and 453,111 is: 675,991.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,716 : 453,111 = 453,111 : x
  2. Step 2: Convert to fraction form
    303,716/453,111 = 453,111/x
  3. Step 3: Cross multiply
    303,716x = 453,111 × 453,111
  4. Step 4: Simplify right side
    303,716x = 205,309,578,321
  5. Step 5: Solve for x
    x = 205,309,578,321/303,716
  6. Step 6: Final answer
    x = 675,991.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.