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Finding the Third Proportional to 307,608 and 661,216

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Solution

The third proportional to 307,608 and 661,216 is: 1,421,310.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,608 : 661,216 = 661,216 : x
  2. Step 2: Convert to fraction form
    307,608/661,216 = 661,216/x
  3. Step 3: Cross multiply
    307,608x = 661,216 × 661,216
  4. Step 4: Simplify right side
    307,608x = 437,206,598,656
  5. Step 5: Solve for x
    x = 437,206,598,656/307,608
  6. Step 6: Final answer
    x = 1,421,310.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.