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Finding the Third Proportional to 327,574 and 694,508

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Solution

The third proportional to 327,574 and 694,508 is: 1,472,465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,574 : 694,508 = 694,508 : x
  2. Step 2: Convert to fraction form
    327,574/694,508 = 694,508/x
  3. Step 3: Cross multiply
    327,574x = 694,508 × 694,508
  4. Step 4: Simplify right side
    327,574x = 482,341,362,064
  5. Step 5: Solve for x
    x = 482,341,362,064/327,574
  6. Step 6: Final answer
    x = 1,472,465.34

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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.