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Finding the Third Proportional to 635,032 and 862,444

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Solution

The third proportional to 635,032 and 862,444 is: 1,171,294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,032 : 862,444 = 862,444 : x
  2. Step 2: Convert to fraction form
    635,032/862,444 = 862,444/x
  3. Step 3: Cross multiply
    635,032x = 862,444 × 862,444
  4. Step 4: Simplify right side
    635,032x = 743,809,653,136
  5. Step 5: Solve for x
    x = 743,809,653,136/635,032
  6. Step 6: Final answer
    x = 1,171,294.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.