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Finding the Third Proportional to 207,003 and 445,719

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Solution

The third proportional to 207,003 and 445,719 is: 959,722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,003 : 445,719 = 445,719 : x
  2. Step 2: Convert to fraction form
    207,003/445,719 = 445,719/x
  3. Step 3: Cross multiply
    207,003x = 445,719 × 445,719
  4. Step 4: Simplify right side
    207,003x = 198,665,426,961
  5. Step 5: Solve for x
    x = 198,665,426,961/207,003
  6. Step 6: Final answer
    x = 959,722.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.