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Finding the Third Proportional to 323,662 and 660,178

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Solution

The third proportional to 323,662 and 660,178 is: 1,346,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,662 : 660,178 = 660,178 : x
  2. Step 2: Convert to fraction form
    323,662/660,178 = 660,178/x
  3. Step 3: Cross multiply
    323,662x = 660,178 × 660,178
  4. Step 4: Simplify right side
    323,662x = 435,834,991,684
  5. Step 5: Solve for x
    x = 435,834,991,684/323,662
  6. Step 6: Final answer
    x = 1,346,574.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.