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Finding the Third Proportional to 300,843 and 653,526

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Solution

The third proportional to 300,843 and 653,526 is: 1,419,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,843 : 653,526 = 653,526 : x
  2. Step 2: Convert to fraction form
    300,843/653,526 = 653,526/x
  3. Step 3: Cross multiply
    300,843x = 653,526 × 653,526
  4. Step 4: Simplify right side
    300,843x = 427,096,232,676
  5. Step 5: Solve for x
    x = 427,096,232,676/300,843
  6. Step 6: Final answer
    x = 1,419,664.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.