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Finding the Third Proportional to 341,334 and 491,659.88

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Solution

The third proportional to 341,334 and 491,659.88 is: 708,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,334 : 491,659.88 = 491,659.88 : x
  2. Step 2: Convert to fraction form
    341,334/491,659.88 = 491,659.88/x
  3. Step 3: Cross multiply
    341,334x = 491,659.88 × 491,659.88
  4. Step 4: Simplify right side
    341,334x = 241,729,432,685.02
  5. Step 5: Solve for x
    x = 241,729,432,685.02/341,334
  6. Step 6: Final answer
    x = 708,190.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.