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Finding the Third Proportional to 277,231.50 and 405,964.13

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Solution

The third proportional to 277,231.50 and 405,964.13 is: 594,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,231.50 : 405,964.13 = 405,964.13 : x
  2. Step 2: Convert to fraction form
    277,231.50/405,964.13 = 405,964.13/x
  3. Step 3: Cross multiply
    277,231.50x = 405,964.13 × 405,964.13
  4. Step 4: Simplify right side
    277,231.50x = 164,806,870,787.02
  5. Step 5: Solve for x
    x = 164,806,870,787.02/277,231.50
  6. Step 6: Final answer
    x = 594,473.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.