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Finding the Third Proportional to 206,574.75 and 437,958

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Solution

The third proportional to 206,574.75 and 437,958 is: 928,512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,574.75 : 437,958 = 437,958 : x
  2. Step 2: Convert to fraction form
    206,574.75/437,958 = 437,958/x
  3. Step 3: Cross multiply
    206,574.75x = 437,958 × 437,958
  4. Step 4: Simplify right side
    206,574.75x = 191,807,209,764
  5. Step 5: Solve for x
    x = 191,807,209,764/206,574.75
  6. Step 6: Final answer
    x = 928,512.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.