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Finding the Third Proportional to 308,934 and 669,250.69

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Solution

The third proportional to 308,934 and 669,250.69 is: 1,449,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,934 : 669,250.69 = 669,250.69 : x
  2. Step 2: Convert to fraction form
    308,934/669,250.69 = 669,250.69/x
  3. Step 3: Cross multiply
    308,934x = 669,250.69 × 669,250.69
  4. Step 4: Simplify right side
    308,934x = 447,896,482,719.22
  5. Step 5: Solve for x
    x = 447,896,482,719.22/308,934
  6. Step 6: Final answer
    x = 1,449,812.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.