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Finding the Third Proportional to 210,525 and 451,074

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Solution

The third proportional to 210,525 and 451,074 is: 966,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,525 : 451,074 = 451,074 : x
  2. Step 2: Convert to fraction form
    210,525/451,074 = 451,074/x
  3. Step 3: Cross multiply
    210,525x = 451,074 × 451,074
  4. Step 4: Simplify right side
    210,525x = 203,467,753,476
  5. Step 5: Solve for x
    x = 203,467,753,476/210,525
  6. Step 6: Final answer
    x = 966,477.87

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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.