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Finding the Third Proportional to 505,744 and 759,960

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Solution

The third proportional to 505,744 and 759,960 is: 1,141,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,744 : 759,960 = 759,960 : x
  2. Step 2: Convert to fraction form
    505,744/759,960 = 759,960/x
  3. Step 3: Cross multiply
    505,744x = 759,960 × 759,960
  4. Step 4: Simplify right side
    505,744x = 577,539,201,600
  5. Step 5: Solve for x
    x = 577,539,201,600/505,744
  6. Step 6: Final answer
    x = 1,141,959.57

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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.