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Finding the Third Proportional to 635,712.50 and 960,049

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Solution

The third proportional to 635,712.50 and 960,049 is: 1,449,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,712.50 : 960,049 = 960,049 : x
  2. Step 2: Convert to fraction form
    635,712.50/960,049 = 960,049/x
  3. Step 3: Cross multiply
    635,712.50x = 960,049 × 960,049
  4. Step 4: Simplify right side
    635,712.50x = 921,694,082,401
  5. Step 5: Solve for x
    x = 921,694,082,401/635,712.50
  6. Step 6: Final answer
    x = 1,449,859.93

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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.