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Finding the Third Proportional to 624,512.75 and 813,942.75

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Solution

The third proportional to 624,512.75 and 813,942.75 is: 1,060,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,512.75 : 813,942.75 = 813,942.75 : x
  2. Step 2: Convert to fraction form
    624,512.75/813,942.75 = 813,942.75/x
  3. Step 3: Cross multiply
    624,512.75x = 813,942.75 × 813,942.75
  4. Step 4: Simplify right side
    624,512.75x = 662,502,800,277.56
  5. Step 5: Solve for x
    x = 662,502,800,277.56/624,512.75
  6. Step 6: Final answer
    x = 1,060,831.50

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.