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Finding the Third Proportional to 395,064 and 865,144

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Solution

The third proportional to 395,064 and 865,144 is: 1,894,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,064 : 865,144 = 865,144 : x
  2. Step 2: Convert to fraction form
    395,064/865,144 = 865,144/x
  3. Step 3: Cross multiply
    395,064x = 865,144 × 865,144
  4. Step 4: Simplify right side
    395,064x = 748,474,140,736
  5. Step 5: Solve for x
    x = 748,474,140,736/395,064
  6. Step 6: Final answer
    x = 1,894,564.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.