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Finding the Third Proportional to 635,708.50 and 960,043

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Solution

The third proportional to 635,708.50 and 960,043 is: 1,449,850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,708.50 : 960,043 = 960,043 : x
  2. Step 2: Convert to fraction form
    635,708.50/960,043 = 960,043/x
  3. Step 3: Cross multiply
    635,708.50x = 960,043 × 960,043
  4. Step 4: Simplify right side
    635,708.50x = 921,682,561,849
  5. Step 5: Solve for x
    x = 921,682,561,849/635,708.50
  6. Step 6: Final answer
    x = 1,449,850.93

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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.