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Finding the Third Proportional to 635,744 and 960,095

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Solution

The third proportional to 635,744 and 960,095 is: 1,449,927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,744 : 960,095 = 960,095 : x
  2. Step 2: Convert to fraction form
    635,744/960,095 = 960,095/x
  3. Step 3: Cross multiply
    635,744x = 960,095 × 960,095
  4. Step 4: Simplify right side
    635,744x = 921,782,409,025
  5. Step 5: Solve for x
    x = 921,782,409,025/635,744
  6. Step 6: Final answer
    x = 1,449,927.03

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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.