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Finding the Third Proportional to 289,682 and 460,947

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Solution

The third proportional to 289,682 and 460,947 is: 733,466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,682 : 460,947 = 460,947 : x
  2. Step 2: Convert to fraction form
    289,682/460,947 = 460,947/x
  3. Step 3: Cross multiply
    289,682x = 460,947 × 460,947
  4. Step 4: Simplify right side
    289,682x = 212,472,136,809
  5. Step 5: Solve for x
    x = 212,472,136,809/289,682
  6. Step 6: Final answer
    x = 733,466.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.