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Finding the Third Proportional to 635,734 and 960,083

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Solution

The third proportional to 635,734 and 960,083 is: 1,449,913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,734 : 960,083 = 960,083 : x
  2. Step 2: Convert to fraction form
    635,734/960,083 = 960,083/x
  3. Step 3: Cross multiply
    635,734x = 960,083 × 960,083
  4. Step 4: Simplify right side
    635,734x = 921,759,366,889
  5. Step 5: Solve for x
    x = 921,759,366,889/635,734
  6. Step 6: Final answer
    x = 1,449,913.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.