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Finding the Third Proportional to 338,908 and 669,310

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Solution

The third proportional to 338,908 and 669,310 is: 1,321,821.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,908 : 669,310 = 669,310 : x
  2. Step 2: Convert to fraction form
    338,908/669,310 = 669,310/x
  3. Step 3: Cross multiply
    338,908x = 669,310 × 669,310
  4. Step 4: Simplify right side
    338,908x = 447,975,876,100
  5. Step 5: Solve for x
    x = 447,975,876,100/338,908
  6. Step 6: Final answer
    x = 1,321,821.49

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.