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Finding the Third Proportional to 345,217 and 740,162

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Solution

The third proportional to 345,217 and 740,162 is: 1,586,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,217 : 740,162 = 740,162 : x
  2. Step 2: Convert to fraction form
    345,217/740,162 = 740,162/x
  3. Step 3: Cross multiply
    345,217x = 740,162 × 740,162
  4. Step 4: Simplify right side
    345,217x = 547,839,786,244
  5. Step 5: Solve for x
    x = 547,839,786,244/345,217
  6. Step 6: Final answer
    x = 1,586,943.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.