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Finding the Third Proportional to 412,940 and 875,500

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Solution

The third proportional to 412,940 and 875,500 is: 1,856,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,940 : 875,500 = 875,500 : x
  2. Step 2: Convert to fraction form
    412,940/875,500 = 875,500/x
  3. Step 3: Cross multiply
    412,940x = 875,500 × 875,500
  4. Step 4: Simplify right side
    412,940x = 766,500,250,000
  5. Step 5: Solve for x
    x = 766,500,250,000/412,940
  6. Step 6: Final answer
    x = 1,856,202.47

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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.