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Finding the Third Proportional to 635,728 and 960,074

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Solution

The third proportional to 635,728 and 960,074 is: 1,449,900.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,728 : 960,074 = 960,074 : x
  2. Step 2: Convert to fraction form
    635,728/960,074 = 960,074/x
  3. Step 3: Cross multiply
    635,728x = 960,074 × 960,074
  4. Step 4: Simplify right side
    635,728x = 921,742,085,476
  5. Step 5: Solve for x
    x = 921,742,085,476/635,728
  6. Step 6: Final answer
    x = 1,449,900.09

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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.