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Finding the Third Proportional to 505,553 and 759,626

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Solution

The third proportional to 505,553 and 759,626 is: 1,141,387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,553 : 759,626 = 759,626 : x
  2. Step 2: Convert to fraction form
    505,553/759,626 = 759,626/x
  3. Step 3: Cross multiply
    505,553x = 759,626 × 759,626
  4. Step 4: Simplify right side
    505,553x = 577,031,659,876
  5. Step 5: Solve for x
    x = 577,031,659,876/505,553
  6. Step 6: Final answer
    x = 1,141,387.07

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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.