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Finding the Third Proportional to 306,709 and 628,716

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Solution

The third proportional to 306,709 and 628,716 is: 1,288,791.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,709 : 628,716 = 628,716 : x
  2. Step 2: Convert to fraction form
    306,709/628,716 = 628,716/x
  3. Step 3: Cross multiply
    306,709x = 628,716 × 628,716
  4. Step 4: Simplify right side
    306,709x = 395,283,808,656
  5. Step 5: Solve for x
    x = 395,283,808,656/306,709
  6. Step 6: Final answer
    x = 1,288,791.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.