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Finding the Third Proportional to 345,197 and 753,149

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Solution

The third proportional to 345,197 and 753,149 is: 1,643,216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,197 : 753,149 = 753,149 : x
  2. Step 2: Convert to fraction form
    345,197/753,149 = 753,149/x
  3. Step 3: Cross multiply
    345,197x = 753,149 × 753,149
  4. Step 4: Simplify right side
    345,197x = 567,233,416,201
  5. Step 5: Solve for x
    x = 567,233,416,201/345,197
  6. Step 6: Final answer
    x = 1,643,216.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.