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Finding the Third Proportional to 305,500 and 669,752

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Solution

The third proportional to 305,500 and 669,752 is: 1,468,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,500 : 669,752 = 669,752 : x
  2. Step 2: Convert to fraction form
    305,500/669,752 = 669,752/x
  3. Step 3: Cross multiply
    305,500x = 669,752 × 669,752
  4. Step 4: Simplify right side
    305,500x = 448,567,741,504
  5. Step 5: Solve for x
    x = 448,567,741,504/305,500
  6. Step 6: Final answer
    x = 1,468,306.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.