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Finding the Third Proportional to 300,952.97 and 440,355.23

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Solution

The third proportional to 300,952.97 and 440,355.23 is: 644,329.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,952.97 : 440,355.23 = 440,355.23 : x
  2. Step 2: Convert to fraction form
    300,952.97/440,355.23 = 440,355.23/x
  3. Step 3: Cross multiply
    300,952.97x = 440,355.23 × 440,355.23
  4. Step 4: Simplify right side
    300,952.97x = 193,912,732,441.46
  5. Step 5: Solve for x
    x = 193,912,732,441.46/300,952.97
  6. Step 6: Final answer
    x = 644,329.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.