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Finding the Third Proportional to 320,936 and 696,304

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Solution

The third proportional to 320,936 and 696,304 is: 1,510,703.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,936 : 696,304 = 696,304 : x
  2. Step 2: Convert to fraction form
    320,936/696,304 = 696,304/x
  3. Step 3: Cross multiply
    320,936x = 696,304 × 696,304
  4. Step 4: Simplify right side
    320,936x = 484,839,260,416
  5. Step 5: Solve for x
    x = 484,839,260,416/320,936
  6. Step 6: Final answer
    x = 1,510,703.88

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Why These Related Problems?

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