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Finding the Third Proportional to 228,004.88 and 496,135.13

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Solution

The third proportional to 228,004.88 and 496,135.13 is: 1,079,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,004.88 : 496,135.13 = 496,135.13 : x
  2. Step 2: Convert to fraction form
    228,004.88/496,135.13 = 496,135.13/x
  3. Step 3: Cross multiply
    228,004.88x = 496,135.13 × 496,135.13
  4. Step 4: Simplify right side
    228,004.88x = 246,150,062,258.77
  5. Step 5: Solve for x
    x = 246,150,062,258.77/228,004.88
  6. Step 6: Final answer
    x = 1,079,582.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.