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Finding the Third Proportional to 635,713 and 960,050

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Solution

The third proportional to 635,713 and 960,050 is: 1,449,861.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,713 : 960,050 = 960,050 : x
  2. Step 2: Convert to fraction form
    635,713/960,050 = 960,050/x
  3. Step 3: Cross multiply
    635,713x = 960,050 × 960,050
  4. Step 4: Simplify right side
    635,713x = 921,696,002,500
  5. Step 5: Solve for x
    x = 921,696,002,500/635,713
  6. Step 6: Final answer
    x = 1,449,861.81

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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.