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Finding the Third Proportional to 207,050 and 454,802

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Solution

The third proportional to 207,050 and 454,802 is: 999,009.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,050 : 454,802 = 454,802 : x
  2. Step 2: Convert to fraction form
    207,050/454,802 = 454,802/x
  3. Step 3: Cross multiply
    207,050x = 454,802 × 454,802
  4. Step 4: Simplify right side
    207,050x = 206,844,859,204
  5. Step 5: Solve for x
    x = 206,844,859,204/207,050
  6. Step 6: Final answer
    x = 999,009.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.