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Finding the Third Proportional to 384,306.75 and 547,453.50

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Solution

The third proportional to 384,306.75 and 547,453.50 is: 779,859.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,306.75 : 547,453.50 = 547,453.50 : x
  2. Step 2: Convert to fraction form
    384,306.75/547,453.50 = 547,453.50/x
  3. Step 3: Cross multiply
    384,306.75x = 547,453.50 × 547,453.50
  4. Step 4: Simplify right side
    384,306.75x = 299,705,334,662.25
  5. Step 5: Solve for x
    x = 299,705,334,662.25/384,306.75
  6. Step 6: Final answer
    x = 779,859.67

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.