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Finding the Third Proportional to 206,964 and 453,672

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Solution

The third proportional to 206,964 and 453,672 is: 994,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,964 : 453,672 = 453,672 : x
  2. Step 2: Convert to fraction form
    206,964/453,672 = 453,672/x
  3. Step 3: Cross multiply
    206,964x = 453,672 × 453,672
  4. Step 4: Simplify right side
    206,964x = 205,818,283,584
  5. Step 5: Solve for x
    x = 205,818,283,584/206,964
  6. Step 6: Final answer
    x = 994,464.18

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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.