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Finding the Third Proportional to 414,699.75 and 557,268.75

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Solution

The third proportional to 414,699.75 and 557,268.75 is: 748,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,699.75 : 557,268.75 = 557,268.75 : x
  2. Step 2: Convert to fraction form
    414,699.75/557,268.75 = 557,268.75/x
  3. Step 3: Cross multiply
    414,699.75x = 557,268.75 × 557,268.75
  4. Step 4: Simplify right side
    414,699.75x = 310,548,459,726.56
  5. Step 5: Solve for x
    x = 310,548,459,726.56/414,699.75
  6. Step 6: Final answer
    x = 748,851.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.