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Finding the Third Proportional to 451,824.75 and 950,239.69

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Solution

The third proportional to 451,824.75 and 950,239.69 is: 1,998,463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,824.75 : 950,239.69 = 950,239.69 : x
  2. Step 2: Convert to fraction form
    451,824.75/950,239.69 = 950,239.69/x
  3. Step 3: Cross multiply
    451,824.75x = 950,239.69 × 950,239.69
  4. Step 4: Simplify right side
    451,824.75x = 902,955,463,700.10
  5. Step 5: Solve for x
    x = 902,955,463,700.10/451,824.75
  6. Step 6: Final answer
    x = 1,998,463.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.