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Finding the Third Proportional to 231,160 and 477,824

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Solution

The third proportional to 231,160 and 477,824 is: 987,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,160 : 477,824 = 477,824 : x
  2. Step 2: Convert to fraction form
    231,160/477,824 = 477,824/x
  3. Step 3: Cross multiply
    231,160x = 477,824 × 477,824
  4. Step 4: Simplify right side
    231,160x = 228,315,774,976
  5. Step 5: Solve for x
    x = 228,315,774,976/231,160
  6. Step 6: Final answer
    x = 987,695.86

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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.