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Finding the Third Proportional to 458,751.75 and 1,079,351.25

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Solution

The third proportional to 458,751.75 and 1,079,351.25 is: 2,539,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,751.75 : 1,079,351.25 = 1,079,351.25 : x
  2. Step 2: Convert to fraction form
    458,751.75/1,079,351.25 = 1,079,351.25/x
  3. Step 3: Cross multiply
    458,751.75x = 1,079,351.25 × 1,079,351.25
  4. Step 4: Simplify right side
    458,751.75x = 1,164,999,120,876.56
  5. Step 5: Solve for x
    x = 1,164,999,120,876.56/458,751.75
  6. Step 6: Final answer
    x = 2,539,497.93

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.