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Finding the Third Proportional to 304,512 and 653,910

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Solution

The third proportional to 304,512 and 653,910 is: 1,404,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,512 : 653,910 = 653,910 : x
  2. Step 2: Convert to fraction form
    304,512/653,910 = 653,910/x
  3. Step 3: Cross multiply
    304,512x = 653,910 × 653,910
  4. Step 4: Simplify right side
    304,512x = 427,598,288,100
  5. Step 5: Solve for x
    x = 427,598,288,100/304,512
  6. Step 6: Final answer
    x = 1,404,208.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.