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Finding the Third Proportional to 309,256 and 656,419

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Solution

The third proportional to 309,256 and 656,419 is: 1,393,298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,256 : 656,419 = 656,419 : x
  2. Step 2: Convert to fraction form
    309,256/656,419 = 656,419/x
  3. Step 3: Cross multiply
    309,256x = 656,419 × 656,419
  4. Step 4: Simplify right side
    309,256x = 430,885,903,561
  5. Step 5: Solve for x
    x = 430,885,903,561/309,256
  6. Step 6: Final answer
    x = 1,393,298.44

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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.