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Finding the Third Proportional to 254,407.50 and 395,616

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Solution

The third proportional to 254,407.50 and 395,616 is: 615,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,407.50 : 395,616 = 395,616 : x
  2. Step 2: Convert to fraction form
    254,407.50/395,616 = 395,616/x
  3. Step 3: Cross multiply
    254,407.50x = 395,616 × 395,616
  4. Step 4: Simplify right side
    254,407.50x = 156,512,019,456
  5. Step 5: Solve for x
    x = 156,512,019,456/254,407.50
  6. Step 6: Final answer
    x = 615,202.07

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.