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Finding the Third Proportional to 635,857.50 and 960,266.25

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Solution

The third proportional to 635,857.50 and 960,266.25 is: 1,450,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,857.50 : 960,266.25 = 960,266.25 : x
  2. Step 2: Convert to fraction form
    635,857.50/960,266.25 = 960,266.25/x
  3. Step 3: Cross multiply
    635,857.50x = 960,266.25 × 960,266.25
  4. Step 4: Simplify right side
    635,857.50x = 922,111,270,889.06
  5. Step 5: Solve for x
    x = 922,111,270,889.06/635,857.50
  6. Step 6: Final answer
    x = 1,450,185.41

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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.