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Finding the Third Proportional to 303,517 and 655,665

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Solution

The third proportional to 303,517 and 655,665 is: 1,416,383.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,517 : 655,665 = 655,665 : x
  2. Step 2: Convert to fraction form
    303,517/655,665 = 655,665/x
  3. Step 3: Cross multiply
    303,517x = 655,665 × 655,665
  4. Step 4: Simplify right side
    303,517x = 429,896,592,225
  5. Step 5: Solve for x
    x = 429,896,592,225/303,517
  6. Step 6: Final answer
    x = 1,416,383.90

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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.