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Finding the Third Proportional to 395,324 and 850,686

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Solution

The third proportional to 395,324 and 850,686 is: 1,830,565.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,324 : 850,686 = 850,686 : x
  2. Step 2: Convert to fraction form
    395,324/850,686 = 850,686/x
  3. Step 3: Cross multiply
    395,324x = 850,686 × 850,686
  4. Step 4: Simplify right side
    395,324x = 723,666,670,596
  5. Step 5: Solve for x
    x = 723,666,670,596/395,324
  6. Step 6: Final answer
    x = 1,830,565.99

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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.