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Finding the Third Proportional to 306,880 and 656,404

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Solution

The third proportional to 306,880 and 656,404 is: 1,404,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,880 : 656,404 = 656,404 : x
  2. Step 2: Convert to fraction form
    306,880/656,404 = 656,404/x
  3. Step 3: Cross multiply
    306,880x = 656,404 × 656,404
  4. Step 4: Simplify right side
    306,880x = 430,866,211,216
  5. Step 5: Solve for x
    x = 430,866,211,216/306,880
  6. Step 6: Final answer
    x = 1,404,021.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.