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Finding the Third Proportional to 207,722 and 454,972

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Solution

The third proportional to 207,722 and 454,972 is: 996,521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,722 : 454,972 = 454,972 : x
  2. Step 2: Convert to fraction form
    207,722/454,972 = 454,972/x
  3. Step 3: Cross multiply
    207,722x = 454,972 × 454,972
  4. Step 4: Simplify right side
    207,722x = 206,999,520,784
  5. Step 5: Solve for x
    x = 206,999,520,784/207,722
  6. Step 6: Final answer
    x = 996,521.89

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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.