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Finding the Third Proportional to 325,840 and 717,986

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Solution

The third proportional to 325,840 and 717,986 is: 1,582,076.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,840 : 717,986 = 717,986 : x
  2. Step 2: Convert to fraction form
    325,840/717,986 = 717,986/x
  3. Step 3: Cross multiply
    325,840x = 717,986 × 717,986
  4. Step 4: Simplify right side
    325,840x = 515,503,896,196
  5. Step 5: Solve for x
    x = 515,503,896,196/325,840
  6. Step 6: Final answer
    x = 1,582,076.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.