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Finding the Third Proportional to 414,357 and 623,079

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Solution

The third proportional to 414,357 and 623,079 is: 936,939.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,357 : 623,079 = 623,079 : x
  2. Step 2: Convert to fraction form
    414,357/623,079 = 623,079/x
  3. Step 3: Cross multiply
    414,357x = 623,079 × 623,079
  4. Step 4: Simplify right side
    414,357x = 388,227,440,241
  5. Step 5: Solve for x
    x = 388,227,440,241/414,357
  6. Step 6: Final answer
    x = 936,939.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.