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Finding the Third Proportional to 210,016 and 460,857

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Solution

The third proportional to 210,016 and 460,857 is: 1,011,299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,016 : 460,857 = 460,857 : x
  2. Step 2: Convert to fraction form
    210,016/460,857 = 460,857/x
  3. Step 3: Cross multiply
    210,016x = 460,857 × 460,857
  4. Step 4: Simplify right side
    210,016x = 212,389,174,449
  5. Step 5: Solve for x
    x = 212,389,174,449/210,016
  6. Step 6: Final answer
    x = 1,011,299.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.