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Finding the Third Proportional to 288,244 and 460,467

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Solution

The third proportional to 288,244 and 460,467 is: 735,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,244 : 460,467 = 460,467 : x
  2. Step 2: Convert to fraction form
    288,244/460,467 = 460,467/x
  3. Step 3: Cross multiply
    288,244x = 460,467 × 460,467
  4. Step 4: Simplify right side
    288,244x = 212,029,858,089
  5. Step 5: Solve for x
    x = 212,029,858,089/288,244
  6. Step 6: Final answer
    x = 735,591.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.