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Finding the Third Proportional to 214,169 and 476,210

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Solution

The third proportional to 214,169 and 476,210 is: 1,058,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,169 : 476,210 = 476,210 : x
  2. Step 2: Convert to fraction form
    214,169/476,210 = 476,210/x
  3. Step 3: Cross multiply
    214,169x = 476,210 × 476,210
  4. Step 4: Simplify right side
    214,169x = 226,775,964,100
  5. Step 5: Solve for x
    x = 226,775,964,100/214,169
  6. Step 6: Final answer
    x = 1,058,864.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.