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Finding the Third Proportional to 210,762 and 451,035

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Solution

The third proportional to 210,762 and 451,035 is: 965,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,762 : 451,035 = 451,035 : x
  2. Step 2: Convert to fraction form
    210,762/451,035 = 451,035/x
  3. Step 3: Cross multiply
    210,762x = 451,035 × 451,035
  4. Step 4: Simplify right side
    210,762x = 203,432,571,225
  5. Step 5: Solve for x
    x = 203,432,571,225/210,762
  6. Step 6: Final answer
    x = 965,224.14

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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.