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Finding the Third Proportional to 337,217 and 705,611

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Solution

The third proportional to 337,217 and 705,611 is: 1,476,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,217 : 705,611 = 705,611 : x
  2. Step 2: Convert to fraction form
    337,217/705,611 = 705,611/x
  3. Step 3: Cross multiply
    337,217x = 705,611 × 705,611
  4. Step 4: Simplify right side
    337,217x = 497,886,883,321
  5. Step 5: Solve for x
    x = 497,886,883,321/337,217
  6. Step 6: Final answer
    x = 1,476,458.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.