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Finding the Third Proportional to 349,274 and 754,186

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Solution

The third proportional to 349,274 and 754,186 is: 1,628,510.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,274 : 754,186 = 754,186 : x
  2. Step 2: Convert to fraction form
    349,274/754,186 = 754,186/x
  3. Step 3: Cross multiply
    349,274x = 754,186 × 754,186
  4. Step 4: Simplify right side
    349,274x = 568,796,522,596
  5. Step 5: Solve for x
    x = 568,796,522,596/349,274
  6. Step 6: Final answer
    x = 1,628,510.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.