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Finding the Third Proportional to 232,831.50 and 498,876

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Solution

The third proportional to 232,831.50 and 498,876 is: 1,068,915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,831.50 : 498,876 = 498,876 : x
  2. Step 2: Convert to fraction form
    232,831.50/498,876 = 498,876/x
  3. Step 3: Cross multiply
    232,831.50x = 498,876 × 498,876
  4. Step 4: Simplify right side
    232,831.50x = 248,877,263,376
  5. Step 5: Solve for x
    x = 248,877,263,376/232,831.50
  6. Step 6: Final answer
    x = 1,068,915.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.