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Finding the Third Proportional to 413,467.50 and 622,611

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Solution

The third proportional to 413,467.50 and 622,611 is: 937,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,467.50 : 622,611 = 622,611 : x
  2. Step 2: Convert to fraction form
    413,467.50/622,611 = 622,611/x
  3. Step 3: Cross multiply
    413,467.50x = 622,611 × 622,611
  4. Step 4: Simplify right side
    413,467.50x = 387,644,457,321
  5. Step 5: Solve for x
    x = 387,644,457,321/413,467.50
  6. Step 6: Final answer
    x = 937,545.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.