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Finding the Third Proportional to 395,095.22 and 850,173.47

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Solution

The third proportional to 395,095.22 and 850,173.47 is: 1,829,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,095.22 : 850,173.47 = 850,173.47 : x
  2. Step 2: Convert to fraction form
    395,095.22/850,173.47 = 850,173.47/x
  3. Step 3: Cross multiply
    395,095.22x = 850,173.47 × 850,173.47
  4. Step 4: Simplify right side
    395,095.22x = 722,794,926,966.41
  5. Step 5: Solve for x
    x = 722,794,926,966.41/395,095.22
  6. Step 6: Final answer
    x = 1,829,419.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.