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Finding the Third Proportional to 287,834 and 610,744

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Solution

The third proportional to 287,834 and 610,744 is: 1,295,914.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,834 : 610,744 = 610,744 : x
  2. Step 2: Convert to fraction form
    287,834/610,744 = 610,744/x
  3. Step 3: Cross multiply
    287,834x = 610,744 × 610,744
  4. Step 4: Simplify right side
    287,834x = 373,008,233,536
  5. Step 5: Solve for x
    x = 373,008,233,536/287,834
  6. Step 6: Final answer
    x = 1,295,914.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.