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Finding the Third Proportional to 453,450 and 677,805

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Solution

The third proportional to 453,450 and 677,805 is: 1,013,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,450 : 677,805 = 677,805 : x
  2. Step 2: Convert to fraction form
    453,450/677,805 = 677,805/x
  3. Step 3: Cross multiply
    453,450x = 677,805 × 677,805
  4. Step 4: Simplify right side
    453,450x = 459,419,618,025
  5. Step 5: Solve for x
    x = 459,419,618,025/453,450
  6. Step 6: Final answer
    x = 1,013,164.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.