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Finding the Third Proportional to 313,592 and 689,611

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Solution

The third proportional to 313,592 and 689,611 is: 1,516,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,592 : 689,611 = 689,611 : x
  2. Step 2: Convert to fraction form
    313,592/689,611 = 689,611/x
  3. Step 3: Cross multiply
    313,592x = 689,611 × 689,611
  4. Step 4: Simplify right side
    313,592x = 475,563,331,321
  5. Step 5: Solve for x
    x = 475,563,331,321/313,592
  6. Step 6: Final answer
    x = 1,516,503.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.