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Finding the Third Proportional to 210,911 and 453,828

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Solution

The third proportional to 210,911 and 453,828 is: 976,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,911 : 453,828 = 453,828 : x
  2. Step 2: Convert to fraction form
    210,911/453,828 = 453,828/x
  3. Step 3: Cross multiply
    210,911x = 453,828 × 453,828
  4. Step 4: Simplify right side
    210,911x = 205,959,853,584
  5. Step 5: Solve for x
    x = 205,959,853,584/210,911
  6. Step 6: Final answer
    x = 976,524.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.