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Finding the Third Proportional to 548,673.75 and 728,217.84

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Solution

The third proportional to 548,673.75 and 728,217.84 is: 966,514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,673.75 : 728,217.84 = 728,217.84 : x
  2. Step 2: Convert to fraction form
    548,673.75/728,217.84 = 728,217.84/x
  3. Step 3: Cross multiply
    548,673.75x = 728,217.84 × 728,217.84
  4. Step 4: Simplify right side
    548,673.75x = 530,301,227,955.90
  5. Step 5: Solve for x
    x = 530,301,227,955.90/548,673.75
  6. Step 6: Final answer
    x = 966,514.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.