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Finding the Third Proportional to 408,057.75 and 849,227.63

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Solution

The third proportional to 408,057.75 and 849,227.63 is: 1,767,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,057.75 : 849,227.63 = 849,227.63 : x
  2. Step 2: Convert to fraction form
    408,057.75/849,227.63 = 849,227.63/x
  3. Step 3: Cross multiply
    408,057.75x = 849,227.63 × 849,227.63
  4. Step 4: Simplify right side
    408,057.75x = 721,187,559,063.14
  5. Step 5: Solve for x
    x = 721,187,559,063.14/408,057.75
  6. Step 6: Final answer
    x = 1,767,366.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.