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Finding the Third Proportional to 250,407 and 540,906.75

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Solution

The third proportional to 250,407 and 540,906.75 is: 1,168,418.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,407 : 540,906.75 = 540,906.75 : x
  2. Step 2: Convert to fraction form
    250,407/540,906.75 = 540,906.75/x
  3. Step 3: Cross multiply
    250,407x = 540,906.75 × 540,906.75
  4. Step 4: Simplify right side
    250,407x = 292,580,112,195.56
  5. Step 5: Solve for x
    x = 292,580,112,195.56/250,407
  6. Step 6: Final answer
    x = 1,168,418.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.