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Finding the Third Proportional to 219,121 and 460,376

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Solution

The third proportional to 219,121 and 460,376 is: 967,255.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,121 : 460,376 = 460,376 : x
  2. Step 2: Convert to fraction form
    219,121/460,376 = 460,376/x
  3. Step 3: Cross multiply
    219,121x = 460,376 × 460,376
  4. Step 4: Simplify right side
    219,121x = 211,946,061,376
  5. Step 5: Solve for x
    x = 211,946,061,376/219,121
  6. Step 6: Final answer
    x = 967,255.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.