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Finding the Third Proportional to 236,589.75 and 516,002.25

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Solution

The third proportional to 236,589.75 and 516,002.25 is: 1,125,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,589.75 : 516,002.25 = 516,002.25 : x
  2. Step 2: Convert to fraction form
    236,589.75/516,002.25 = 516,002.25/x
  3. Step 3: Cross multiply
    236,589.75x = 516,002.25 × 516,002.25
  4. Step 4: Simplify right side
    236,589.75x = 266,258,322,005.06
  5. Step 5: Solve for x
    x = 266,258,322,005.06/236,589.75
  6. Step 6: Final answer
    x = 1,125,400.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.