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Finding the Third Proportional to 324,466 and 434,018

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Solution

The third proportional to 324,466 and 434,018 is: 580,558.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,466 : 434,018 = 434,018 : x
  2. Step 2: Convert to fraction form
    324,466/434,018 = 434,018/x
  3. Step 3: Cross multiply
    324,466x = 434,018 × 434,018
  4. Step 4: Simplify right side
    324,466x = 188,371,624,324
  5. Step 5: Solve for x
    x = 188,371,624,324/324,466
  6. Step 6: Final answer
    x = 580,558.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.