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Finding the Third Proportional to 310,006 and 438,811

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Solution

The third proportional to 310,006 and 438,811 is: 621,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,006 : 438,811 = 438,811 : x
  2. Step 2: Convert to fraction form
    310,006/438,811 = 438,811/x
  3. Step 3: Cross multiply
    310,006x = 438,811 × 438,811
  4. Step 4: Simplify right side
    310,006x = 192,555,093,721
  5. Step 5: Solve for x
    x = 192,555,093,721/310,006
  6. Step 6: Final answer
    x = 621,133.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.