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Finding the Third Proportional to 210,771 and 451,053

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Solution

The third proportional to 210,771 and 451,053 is: 965,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,771 : 451,053 = 451,053 : x
  2. Step 2: Convert to fraction form
    210,771/451,053 = 451,053/x
  3. Step 3: Cross multiply
    210,771x = 451,053 × 451,053
  4. Step 4: Simplify right side
    210,771x = 203,448,808,809
  5. Step 5: Solve for x
    x = 203,448,808,809/210,771
  6. Step 6: Final answer
    x = 965,259.97

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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.