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Finding the Third Proportional to 340,110.75 and 491,655.75

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Solution

The third proportional to 340,110.75 and 491,655.75 is: 710,725.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,110.75 : 491,655.75 = 491,655.75 : x
  2. Step 2: Convert to fraction form
    340,110.75/491,655.75 = 491,655.75/x
  3. Step 3: Cross multiply
    340,110.75x = 491,655.75 × 491,655.75
  4. Step 4: Simplify right side
    340,110.75x = 241,725,376,508.06
  5. Step 5: Solve for x
    x = 241,725,376,508.06/340,110.75
  6. Step 6: Final answer
    x = 710,725.48

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.