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Finding the Third Proportional to 444,736.50 and 952,207.50

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Solution

The third proportional to 444,736.50 and 952,207.50 is: 2,038,733.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,736.50 : 952,207.50 = 952,207.50 : x
  2. Step 2: Convert to fraction form
    444,736.50/952,207.50 = 952,207.50/x
  3. Step 3: Cross multiply
    444,736.50x = 952,207.50 × 952,207.50
  4. Step 4: Simplify right side
    444,736.50x = 906,699,123,056.25
  5. Step 5: Solve for x
    x = 906,699,123,056.25/444,736.50
  6. Step 6: Final answer
    x = 2,038,733.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.