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Finding the Third Proportional to 207,783 and 445,088

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Solution

The third proportional to 207,783 and 445,088 is: 953,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,783 : 445,088 = 445,088 : x
  2. Step 2: Convert to fraction form
    207,783/445,088 = 445,088/x
  3. Step 3: Cross multiply
    207,783x = 445,088 × 445,088
  4. Step 4: Simplify right side
    207,783x = 198,103,327,744
  5. Step 5: Solve for x
    x = 198,103,327,744/207,783
  6. Step 6: Final answer
    x = 953,414.51

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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.