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Finding the Third Proportional to 258,055.75 and 534,256.75

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Solution

The third proportional to 258,055.75 and 534,256.75 is: 1,106,079.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,055.75 : 534,256.75 = 534,256.75 : x
  2. Step 2: Convert to fraction form
    258,055.75/534,256.75 = 534,256.75/x
  3. Step 3: Cross multiply
    258,055.75x = 534,256.75 × 534,256.75
  4. Step 4: Simplify right side
    258,055.75x = 285,430,274,920.56
  5. Step 5: Solve for x
    x = 285,430,274,920.56/258,055.75
  6. Step 6: Final answer
    x = 1,106,079.89

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.