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Finding the Third Proportional to 202,624 and 444,416

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Solution

The third proportional to 202,624 and 444,416 is: 974,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,624 : 444,416 = 444,416 : x
  2. Step 2: Convert to fraction form
    202,624/444,416 = 444,416/x
  3. Step 3: Cross multiply
    202,624x = 444,416 × 444,416
  4. Step 4: Simplify right side
    202,624x = 197,505,581,056
  5. Step 5: Solve for x
    x = 197,505,581,056/202,624
  6. Step 6: Final answer
    x = 974,739.33

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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.