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Finding the Third Proportional to 207,760 and 453,944

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Solution

The third proportional to 207,760 and 453,944 is: 991,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,760 : 453,944 = 453,944 : x
  2. Step 2: Convert to fraction form
    207,760/453,944 = 453,944/x
  3. Step 3: Cross multiply
    207,760x = 453,944 × 453,944
  4. Step 4: Simplify right side
    207,760x = 206,065,155,136
  5. Step 5: Solve for x
    x = 206,065,155,136/207,760
  6. Step 6: Final answer
    x = 991,842.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.