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Finding the Third Proportional to 252,571.92 and 545,204.67

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Solution

The third proportional to 252,571.92 and 545,204.67 is: 1,176,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,571.92 : 545,204.67 = 545,204.67 : x
  2. Step 2: Convert to fraction form
    252,571.92/545,204.67 = 545,204.67/x
  3. Step 3: Cross multiply
    252,571.92x = 545,204.67 × 545,204.67
  4. Step 4: Simplify right side
    252,571.92x = 297,248,134,234.33
  5. Step 5: Solve for x
    x = 297,248,134,234.33/252,571.92
  6. Step 6: Final answer
    x = 1,176,885.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.