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Finding the Third Proportional to 635,702 and 960,034

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Solution

The third proportional to 635,702 and 960,034 is: 1,449,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,702 : 960,034 = 960,034 : x
  2. Step 2: Convert to fraction form
    635,702/960,034 = 960,034/x
  3. Step 3: Cross multiply
    635,702x = 960,034 × 960,034
  4. Step 4: Simplify right side
    635,702x = 921,665,281,156
  5. Step 5: Solve for x
    x = 921,665,281,156/635,702
  6. Step 6: Final answer
    x = 1,449,838.57

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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.