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Finding the Third Proportional to 203,574 and 444,863

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Solution

The third proportional to 203,574 and 444,863 is: 972,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,574 : 444,863 = 444,863 : x
  2. Step 2: Convert to fraction form
    203,574/444,863 = 444,863/x
  3. Step 3: Cross multiply
    203,574x = 444,863 × 444,863
  4. Step 4: Simplify right side
    203,574x = 197,903,088,769
  5. Step 5: Solve for x
    x = 197,903,088,769/203,574
  6. Step 6: Final answer
    x = 972,143.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.