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Finding the Third Proportional to 635,706.56 and 960,039.84

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Solution

The third proportional to 635,706.56 and 960,039.84 is: 1,449,845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,706.56 : 960,039.84 = 960,039.84 : x
  2. Step 2: Convert to fraction form
    635,706.56/960,039.84 = 960,039.84/x
  3. Step 3: Cross multiply
    635,706.56x = 960,039.84 × 960,039.84
  4. Step 4: Simplify right side
    635,706.56x = 921,676,501,587.52
  5. Step 5: Solve for x
    x = 921,676,501,587.52/635,706.56
  6. Step 6: Final answer
    x = 1,449,845.82

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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.