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Finding the Third Proportional to 228,672 and 496,896

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Solution

The third proportional to 228,672 and 496,896 is: 1,079,737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,672 : 496,896 = 496,896 : x
  2. Step 2: Convert to fraction form
    228,672/496,896 = 496,896/x
  3. Step 3: Cross multiply
    228,672x = 496,896 × 496,896
  4. Step 4: Simplify right side
    228,672x = 246,905,634,816
  5. Step 5: Solve for x
    x = 246,905,634,816/228,672
  6. Step 6: Final answer
    x = 1,079,737.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.