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Finding the Third Proportional to 207,270 and 454,050

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Solution

The third proportional to 207,270 and 454,050 is: 994,651.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,270 : 454,050 = 454,050 : x
  2. Step 2: Convert to fraction form
    207,270/454,050 = 454,050/x
  3. Step 3: Cross multiply
    207,270x = 454,050 × 454,050
  4. Step 4: Simplify right side
    207,270x = 206,161,402,500
  5. Step 5: Solve for x
    x = 206,161,402,500/207,270
  6. Step 6: Final answer
    x = 994,651.43

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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.