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Finding the Third Proportional to 291,208 and 633,696

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Solution

The third proportional to 291,208 and 633,696 is: 1,378,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,208 : 633,696 = 633,696 : x
  2. Step 2: Convert to fraction form
    291,208/633,696 = 633,696/x
  3. Step 3: Cross multiply
    291,208x = 633,696 × 633,696
  4. Step 4: Simplify right side
    291,208x = 401,570,620,416
  5. Step 5: Solve for x
    x = 401,570,620,416/291,208
  6. Step 6: Final answer
    x = 1,378,982.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.