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Finding the Third Proportional to 306,969.75 and 626,423.63

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Solution

The third proportional to 306,969.75 and 626,423.63 is: 1,278,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,969.75 : 626,423.63 = 626,423.63 : x
  2. Step 2: Convert to fraction form
    306,969.75/626,423.63 = 626,423.63/x
  3. Step 3: Cross multiply
    306,969.75x = 626,423.63 × 626,423.63
  4. Step 4: Simplify right side
    306,969.75x = 392,406,557,958.14
  5. Step 5: Solve for x
    x = 392,406,557,958.14/306,969.75
  6. Step 6: Final answer
    x = 1,278,323.22

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.