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Finding the Third Proportional to 327,537 and 694,440

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Solution

The third proportional to 327,537 and 694,440 is: 1,472,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,537 : 694,440 = 694,440 : x
  2. Step 2: Convert to fraction form
    327,537/694,440 = 694,440/x
  3. Step 3: Cross multiply
    327,537x = 694,440 × 694,440
  4. Step 4: Simplify right side
    327,537x = 482,246,913,600
  5. Step 5: Solve for x
    x = 482,246,913,600/327,537
  6. Step 6: Final answer
    x = 1,472,343.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.