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Finding the Third Proportional to 385,596.75 and 835,548.25

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Solution

The third proportional to 385,596.75 and 835,548.25 is: 1,810,546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,596.75 : 835,548.25 = 835,548.25 : x
  2. Step 2: Convert to fraction form
    385,596.75/835,548.25 = 835,548.25/x
  3. Step 3: Cross multiply
    385,596.75x = 835,548.25 × 835,548.25
  4. Step 4: Simplify right side
    385,596.75x = 698,140,878,078.06
  5. Step 5: Solve for x
    x = 698,140,878,078.06/385,596.75
  6. Step 6: Final answer
    x = 1,810,546.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.