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Finding the Third Proportional to 332,087.75 and 512,810.75

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Solution

The third proportional to 332,087.75 and 512,810.75 is: 791,883.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,087.75 : 512,810.75 = 512,810.75 : x
  2. Step 2: Convert to fraction form
    332,087.75/512,810.75 = 512,810.75/x
  3. Step 3: Cross multiply
    332,087.75x = 512,810.75 × 512,810.75
  4. Step 4: Simplify right side
    332,087.75x = 262,974,865,315.56
  5. Step 5: Solve for x
    x = 262,974,865,315.56/332,087.75
  6. Step 6: Final answer
    x = 791,883.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.