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Finding the Third Proportional to 289,680 and 460,944

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Solution

The third proportional to 289,680 and 460,944 is: 733,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,680 : 460,944 = 460,944 : x
  2. Step 2: Convert to fraction form
    289,680/460,944 = 460,944/x
  3. Step 3: Cross multiply
    289,680x = 460,944 × 460,944
  4. Step 4: Simplify right side
    289,680x = 212,469,371,136
  5. Step 5: Solve for x
    x = 212,469,371,136/289,680
  6. Step 6: Final answer
    x = 733,462.34

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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.