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Finding the Third Proportional to 303,996.50 and 454,293

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Solution

The third proportional to 303,996.50 and 454,293 is: 678,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,996.50 : 454,293 = 454,293 : x
  2. Step 2: Convert to fraction form
    303,996.50/454,293 = 454,293/x
  3. Step 3: Cross multiply
    303,996.50x = 454,293 × 454,293
  4. Step 4: Simplify right side
    303,996.50x = 206,382,129,849
  5. Step 5: Solve for x
    x = 206,382,129,849/303,996.50
  6. Step 6: Final answer
    x = 678,896.40

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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.