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Finding the Third Proportional to 455,586 and 694,611

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Solution

The third proportional to 455,586 and 694,611 is: 1,059,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,586 : 694,611 = 694,611 : x
  2. Step 2: Convert to fraction form
    455,586/694,611 = 694,611/x
  3. Step 3: Cross multiply
    455,586x = 694,611 × 694,611
  4. Step 4: Simplify right side
    455,586x = 482,484,441,321
  5. Step 5: Solve for x
    x = 482,484,441,321/455,586
  6. Step 6: Final answer
    x = 1,059,041.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.