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Finding the Third Proportional to 366,931.27 and 548,687.67

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Solution

The third proportional to 366,931.27 and 548,687.67 is: 820,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,931.27 : 548,687.67 = 548,687.67 : x
  2. Step 2: Convert to fraction form
    366,931.27/548,687.67 = 548,687.67/x
  3. Step 3: Cross multiply
    366,931.27x = 548,687.67 × 548,687.67
  4. Step 4: Simplify right side
    366,931.27x = 301,058,161,267.61
  5. Step 5: Solve for x
    x = 301,058,161,267.61/366,931.27
  6. Step 6: Final answer
    x = 820,475.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.