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Finding the Third Proportional to 217,492 and 332,738

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Solution

The third proportional to 217,492 and 332,738 is: 509,051.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,492 : 332,738 = 332,738 : x
  2. Step 2: Convert to fraction form
    217,492/332,738 = 332,738/x
  3. Step 3: Cross multiply
    217,492x = 332,738 × 332,738
  4. Step 4: Simplify right side
    217,492x = 110,714,576,644
  5. Step 5: Solve for x
    x = 110,714,576,644/217,492
  6. Step 6: Final answer
    x = 509,051.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.