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Finding the Third Proportional to 323,528 and 680,512

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Solution

The third proportional to 323,528 and 680,512 is: 1,431,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,528 : 680,512 = 680,512 : x
  2. Step 2: Convert to fraction form
    323,528/680,512 = 680,512/x
  3. Step 3: Cross multiply
    323,528x = 680,512 × 680,512
  4. Step 4: Simplify right side
    323,528x = 463,096,582,144
  5. Step 5: Solve for x
    x = 463,096,582,144/323,528
  6. Step 6: Final answer
    x = 1,431,395.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.