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Finding the Third Proportional to 412,950 and 875,520

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Solution

The third proportional to 412,950 and 875,520 is: 1,856,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,950 : 875,520 = 875,520 : x
  2. Step 2: Convert to fraction form
    412,950/875,520 = 875,520/x
  3. Step 3: Cross multiply
    412,950x = 875,520 × 875,520
  4. Step 4: Simplify right side
    412,950x = 766,535,270,400
  5. Step 5: Solve for x
    x = 766,535,270,400/412,950
  6. Step 6: Final answer
    x = 1,856,242.33

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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.