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Finding the Third Proportional to 254,003.34 and 393,511.92

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Solution

The third proportional to 254,003.34 and 393,511.92 is: 609,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,003.34 : 393,511.92 = 393,511.92 : x
  2. Step 2: Convert to fraction form
    254,003.34/393,511.92 = 393,511.92/x
  3. Step 3: Cross multiply
    254,003.34x = 393,511.92 × 393,511.92
  4. Step 4: Simplify right side
    254,003.34x = 154,851,632,657.76
  5. Step 5: Solve for x
    x = 154,851,632,657.76/254,003.34
  6. Step 6: Final answer
    x = 609,644.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.