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Finding the Third Proportional to 304,488 and 653,859

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Solution

The third proportional to 304,488 and 653,859 is: 1,404,099.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,488 : 653,859 = 653,859 : x
  2. Step 2: Convert to fraction form
    304,488/653,859 = 653,859/x
  3. Step 3: Cross multiply
    304,488x = 653,859 × 653,859
  4. Step 4: Simplify right side
    304,488x = 427,531,591,881
  5. Step 5: Solve for x
    x = 427,531,591,881/304,488
  6. Step 6: Final answer
    x = 1,404,099.97

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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.