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Finding the Third Proportional to 300,997.13 and 452,586.94

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Solution

The third proportional to 300,997.13 and 452,586.94 is: 680,521.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,997.13 : 452,586.94 = 452,586.94 : x
  2. Step 2: Convert to fraction form
    300,997.13/452,586.94 = 452,586.94/x
  3. Step 3: Cross multiply
    300,997.13x = 452,586.94 × 452,586.94
  4. Step 4: Simplify right side
    300,997.13x = 204,834,935,995.63
  5. Step 5: Solve for x
    x = 204,834,935,995.63/300,997.13
  6. Step 6: Final answer
    x = 680,521.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.