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Finding the Third Proportional to 194,285.25 and 457,979.06

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Solution

The third proportional to 194,285.25 and 457,979.06 is: 1,079,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,285.25 : 457,979.06 = 457,979.06 : x
  2. Step 2: Convert to fraction form
    194,285.25/457,979.06 = 457,979.06/x
  3. Step 3: Cross multiply
    194,285.25x = 457,979.06 × 457,979.06
  4. Step 4: Simplify right side
    194,285.25x = 209,744,821,688.38
  5. Step 5: Solve for x
    x = 209,744,821,688.38/194,285.25
  6. Step 6: Final answer
    x = 1,079,571.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.