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Finding the Third Proportional to 385,938 and 827,244

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Solution

The third proportional to 385,938 and 827,244 is: 1,773,167.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,938 : 827,244 = 827,244 : x
  2. Step 2: Convert to fraction form
    385,938/827,244 = 827,244/x
  3. Step 3: Cross multiply
    385,938x = 827,244 × 827,244
  4. Step 4: Simplify right side
    385,938x = 684,332,635,536
  5. Step 5: Solve for x
    x = 684,332,635,536/385,938
  6. Step 6: Final answer
    x = 1,773,167.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.