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Finding the Third Proportional to 231,168 and 477,840

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Solution

The third proportional to 231,168 and 477,840 is: 987,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,168 : 477,840 = 477,840 : x
  2. Step 2: Convert to fraction form
    231,168/477,840 = 477,840/x
  3. Step 3: Cross multiply
    231,168x = 477,840 × 477,840
  4. Step 4: Simplify right side
    231,168x = 228,331,065,600
  5. Step 5: Solve for x
    x = 228,331,065,600/231,168
  6. Step 6: Final answer
    x = 987,727.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.