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Finding the Third Proportional to 383,077.50 and 579,942

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Solution

The third proportional to 383,077.50 and 579,942 is: 877,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,077.50 : 579,942 = 579,942 : x
  2. Step 2: Convert to fraction form
    383,077.50/579,942 = 579,942/x
  3. Step 3: Cross multiply
    383,077.50x = 579,942 × 579,942
  4. Step 4: Simplify right side
    383,077.50x = 336,332,723,364
  5. Step 5: Solve for x
    x = 336,332,723,364/383,077.50
  6. Step 6: Final answer
    x = 877,975.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.