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Finding the Third Proportional to 505,301.75 and 757,952.25

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Solution

The third proportional to 505,301.75 and 757,952.25 is: 1,136,927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,301.75 : 757,952.25 = 757,952.25 : x
  2. Step 2: Convert to fraction form
    505,301.75/757,952.25 = 757,952.25/x
  3. Step 3: Cross multiply
    505,301.75x = 757,952.25 × 757,952.25
  4. Step 4: Simplify right side
    505,301.75x = 574,491,613,280.06
  5. Step 5: Solve for x
    x = 574,491,613,280.06/505,301.75
  6. Step 6: Final answer
    x = 1,136,927.81

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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.