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Finding the Third Proportional to 340,217 and 739,546

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Solution

The third proportional to 340,217 and 739,546 is: 1,607,586.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,217 : 739,546 = 739,546 : x
  2. Step 2: Convert to fraction form
    340,217/739,546 = 739,546/x
  3. Step 3: Cross multiply
    340,217x = 739,546 × 739,546
  4. Step 4: Simplify right side
    340,217x = 546,928,286,116
  5. Step 5: Solve for x
    x = 546,928,286,116/340,217
  6. Step 6: Final answer
    x = 1,607,586.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.