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Finding the Third Proportional to 505,558 and 759,634

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Solution

The third proportional to 505,558 and 759,634 is: 1,141,399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,558 : 759,634 = 759,634 : x
  2. Step 2: Convert to fraction form
    505,558/759,634 = 759,634/x
  3. Step 3: Cross multiply
    505,558x = 759,634 × 759,634
  4. Step 4: Simplify right side
    505,558x = 577,043,813,956
  5. Step 5: Solve for x
    x = 577,043,813,956/505,558
  6. Step 6: Final answer
    x = 1,141,399.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.