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Finding the Third Proportional to 420,852 and 591,962

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Solution

The third proportional to 420,852 and 591,962 is: 832,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,852 : 591,962 = 591,962 : x
  2. Step 2: Convert to fraction form
    420,852/591,962 = 591,962/x
  3. Step 3: Cross multiply
    420,852x = 591,962 × 591,962
  4. Step 4: Simplify right side
    420,852x = 350,419,009,444
  5. Step 5: Solve for x
    x = 350,419,009,444/420,852
  6. Step 6: Final answer
    x = 832,641.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.