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Finding the Third Proportional to 303,529 and 655,684

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Solution

The third proportional to 303,529 and 655,684 is: 1,416,409.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,529 : 655,684 = 655,684 : x
  2. Step 2: Convert to fraction form
    303,529/655,684 = 655,684/x
  3. Step 3: Cross multiply
    303,529x = 655,684 × 655,684
  4. Step 4: Simplify right side
    303,529x = 429,921,507,856
  5. Step 5: Solve for x
    x = 429,921,507,856/303,529
  6. Step 6: Final answer
    x = 1,416,409.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.